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A variational approach to Lyapunov type inequalities : from ODEs to PDEs / Antonio Cañada, Salvador Villegas
| A variational approach to Lyapunov type inequalities : from ODEs to PDEs / Antonio Cañada, Salvador Villegas |
| Autore | Cañada, Antonio |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XVIII, 120 p. ; 24 cm |
| Altri autori (Persone) | Villegas, Salvador |
| Soggetto topico |
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35J65 - Nonlinear boundary value problems for linear elliptic equations [MSC 2020] 34B05 - Linear boundary value problems for ordinary differential equations [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 34L15 - Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators [MSC 2020] 34C10 - Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equation [MSC 2020] 35J20 - Variational methods for second-order elliptic equations [MSC 2020] 34B15 - Nonlinear boundary value problems for ordinary differential equations [MSC 2020] |
| Soggetto non controllato |
Dirichlet boundary conditions
Lyapunov-type inequalities Neumann boundary conditions Ordinary differential equations Partial differential equations Periodic and antiperiodic boundary conditions Radial higher eigenvalues |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113873 |
Cañada, Antonio
|
||
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A variational approach to Lyapunov type inequalities : from ODEs to PDEs / Antonio Cañada, Salvador Villegas
| A variational approach to Lyapunov type inequalities : from ODEs to PDEs / Antonio Cañada, Salvador Villegas |
| Autore | Cañada, Antonio |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | 1 testo elettronico (xviii, 120 p. : ill.) |
| Altri autori (Persone) | Villegas, Salvador |
| Soggetto topico |
34B05 - Linear boundary value problems for ordinary differential equations [MSC 2020]
34B15 - Nonlinear boundary value problems for ordinary differential equations [MSC 2020] 34C10 - Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equation [MSC 2020] 34L15 - Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators [MSC 2020] 35J20 - Variational methods for second-order elliptic equations [MSC 2020] 35J25 - Boundary value problems for second-order elliptic equations [MSC 2020] 35J65 - Nonlinear boundary value problems for linear elliptic equations [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] |
| Soggetto non controllato |
Dirichlet Boundary Conditions
Lyapunov-type inequalities Neumann boundary conditions Ordinary differential equations Partial Differential Equations Periodic and antiperiodic boundary conditions Radial higher eigenvalues |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This book highlights the current state of Lyapunov-type inequalities through a detailed analysis. Aimed toward researchers and students working in differential equations and those interested in the applications of stability theory and resonant systems, the book begins with an overview Lyapunov’s original results and moves forward to include prevalent results obtained in the past ten years. Detailed proofs and an emphasis on basic ideas are provided for different boundary conditions for ordinary differential equations, including Neumann, Dirichlet, periodic, and antiperiodic conditions. Novel results of higher eigenvalues, systems of equations, partial differential equations as well as variational approaches are presented. To this respect, a new and unified variational point of view is introduced for the treatment of such problems and a systematic discussion of different types of boundary conditions is featured. Various problems make the study of Lyapunov-type inequalities of interest to those in pure and applied mathematics. Originating with the study of the stability properties of the Hill equation, other questions arose for instance in systems at resonance, crystallography, isoperimetric problems, Rayleigh type quotients and oscillation and intervals of disconjugacy and it lead to the study of Lyapunov-type inequalities for differential equations. This classical area of mathematics is still of great interest and remains a source of inspiration. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113873 |
|
Cañada, Antonio
|
||
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A variational approach to Lyapunov type inequalities : from ODEs to PDEs / Antonio Cañada, Salvador Villegas
| A variational approach to Lyapunov type inequalities : from ODEs to PDEs / Antonio Cañada, Salvador Villegas |
| Autore | Cañada, Antonio |
| Edizione | [[Cham] : Springer, 2015] |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Altri autori (Persone) | Villegas, Salvador |
| Soggetto topico |
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35J65 - Nonlinear boundary value problems for linear elliptic equations [MSC 2020] 34B05 - Linear boundary value problems for ordinary differential equations [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 34L15 - Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators [MSC 2020] 34C10 - Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equation [MSC 2020] 35J20 - Variational methods for second-order elliptic equations [MSC 2020] 34B15 - Nonlinear boundary value problems for ordinary differential equations [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113873 |
|
Cañada, Antonio
|
||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt
| Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt |
| Autore | Le, Vy Khoi |
| Pubbl/distr/stampa | New York, : Springer, 1997 |
| Descrizione fisica | XIV, 250 p. : ill. ; 24 cm. |
| Altri autori (Persone) | Schmitt, Klaus |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
49J40 - Variational inequalities [MSC 2020] 74K20 - Plates [MSC 2020] 74G60 - Bifurcation and buckling [MSC 2020] 49J35 - Existence of solutions for minimax problems [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] |
| ISBN |
8-1-4612-7298-4
03-87948-86-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0053646 |
|
Le, Vy Khoi
|
||
| New York, : Springer, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt
| Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt |
| Autore | Le, Vy Khoi |
| Pubbl/distr/stampa | New York, : Springer, 1997 |
| Descrizione fisica | XIV, 250 p. : ill. ; 24 cm |
| Altri autori (Persone) | Schmitt, Klaus |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
49J40 - Variational inequalities [MSC 2020] 74K20 - Plates [MSC 2020] 74G60 - Bifurcation and buckling [MSC 2020] 49J35 - Existence of solutions for minimax problems [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] |
| ISBN |
03-87948-86-4
978-14-612-7298-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0053646 |
|
Le, Vy Khoi
|
||
| New York, : Springer, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt
| Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt |
| Autore | Le, Vy K. |
| Pubbl/distr/stampa | New York, : Springer, 1997 |
| Descrizione fisica | XIV, 250 p. : ill. ; 24 cm |
| Altri autori (Persone) | Schmitt, Klaus |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
49J35 - Existence of solutions for minimax problems [MSC 2020] 49J40 - Variational inequalities [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 74G60 - Bifurcation and buckling [MSC 2020] 74K20 - Plates [MSC 2020] |
| Soggetto non controllato |
Differential Equations
Fluid Mechanics Hilbert spaces Mechanics Partial Differential Equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00297752 |
|
Le, Vy K.
|
||
| New York, : Springer, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt
| Global bifurcation in variational inequalities : applications to obstacle and unilateral problems / Vy Khoi Le, Klaus Schmitt |
| Autore | Le, Vy K. |
| Pubbl/distr/stampa | New York, : Springer, 1997 |
| Descrizione fisica | XIV, 250 p. : ill. ; 24 cm |
| Altri autori (Persone) | Schmitt, Klaus |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
49J35 - Existence of solutions for minimax problems [MSC 2020] 49J40 - Variational inequalities [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 74G60 - Bifurcation and buckling [MSC 2020] 74K20 - Plates [MSC 2020] |
| Soggetto non controllato |
Differential Equations
Fluid Mechanics Hilbert spaces Mechanics Partial Differential Equations |
| ISBN |
03-87948-86-4
978-14-612-7298-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00053646 |
|
Le, Vy K.
|
||
| New York, : Springer, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
New trends in shape optimization / Aldo Pratelli, Günter Leugering editors
| New trends in shape optimization / Aldo Pratelli, Günter Leugering editors |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 314 p. : ill. ; 24 cm |
| Soggetto topico |
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35R35 - Free boundary problems for PDEs [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 45Cxx - Eigenvalue problems for integral equations [MSC 2020] 74K20 - Plates [MSC 2020] 78A50 - Antennas, wave-guides in optics and electromagnetic theory [MSC 2020] 49J45 - Methods involving semicontinuity and convergence; relaxation [MSC 2020] 35J40 - Boundary value problems for higher-order elliptic equations [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 65D15 - Algorithms for approximation of functions [MSC 2020] 35B20 - Perturbations in context of PDEs [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 76D07 - Stokes and related (Oseen, etc.) flows [MSC 2020] 47A75 - Eigenvalue problems for linear operators [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 35Q61 - Maxwell equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] |
| Soggetto non controllato |
Constrained problems
Dirichlet Eigenvalues Elliptic equations and systems Nonlinear Partial Differential Equations Optimal shapes Partial differential equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113492 |
| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
New trends in shape optimization / Aldo Pratelli, Günter Leugering editors
| New trends in shape optimization / Aldo Pratelli, Günter Leugering editors |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 314 p. : ill. ; 24 cm |
| Soggetto topico |
35B20 - Perturbations in context of PDEs [MSC 2020]
35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35J25 - Boundary value problems for second-order elliptic equations [MSC 2020] 35J40 - Boundary value problems for higher-order elliptic equations [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020] 35Q61 - Maxwell equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] 35R35 - Free boundary problems for PDEs [MSC 2020] 45Cxx - Eigenvalue problems for integral equations [MSC 2020] 47A75 - Eigenvalue problems for linear operators [MSC 2020] 49J45 - Methods involving semicontinuity and convergence; relaxation [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 65D15 - Algorithms for approximation of functions [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 74K20 - Plates [MSC 2020] 76D07 - Stokes and related (Oseen, etc.) flows [MSC 2020] 78A50 - Antennas, wave-guides in optics and electromagnetic theory [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] |
| Soggetto non controllato |
Constrained Problems
Dirichlet Eigenvalues Elliptic Equations and Systems Nonlinear Partial Differential Equations Optimal shapes Partial Differential Equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113492 |
| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
New trends in shape optimization / Aldo Pratelli, Günter Leugering editors
| New trends in shape optimization / Aldo Pratelli, Günter Leugering editors |
| Edizione | [[Cham] : Birkhäuser : Springer, 2015] |
| Pubbl/distr/stampa | VIII, 314 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Soggetto topico |
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35R35 - Free boundary problems for PDEs [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 45Cxx - Eigenvalue problems for integral equations [MSC 2020] 74K20 - Plates [MSC 2020] 78A50 - Antennas, wave-guides in optics and electromagnetic theory [MSC 2020] 49J45 - Methods involving semicontinuity and convergence; relaxation [MSC 2020] 35J40 - Boundary value problems for higher-order elliptic equations [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 65D15 - Algorithms for approximation of functions [MSC 2020] 35B20 - Perturbations in context of PDEs [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 76D07 - Stokes and related (Oseen, etc.) flows [MSC 2020] 47A75 - Eigenvalue problems for linear operators [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 35Q61 - Maxwell equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113492 |
| VIII, 314 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
