Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (128 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Addition
Analytic function Approximation Arc length Asymptotic expansion Big O notation Bijection Calculation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Clockwise Coefficient matrix Coefficient Concentric Continuous function Contradiction Coordinate system Determinant Differential equation Divisor Dynamical system Equation Existential quantification Exterior (topology) First variation Geometry Homotopy Initial condition Integer Intersection (set theory) Interval (mathematics) Isolated point Iteration Limit cycle Limit set Linear differential equation Linear equation Main diagonal Mathematician Matrix (mathematics) Matrix coefficient Monotonic function Natural number Nonlinear system Parameter Partial derivative Periodic function Phase plane Phase portrait Polar coordinate system Polynomial Projective plane Quadratic transformation Requirement Saddle point Separatrix (mathematics) Sequence Special case Square matrix Statistical hypothesis testing Structural stability Subset Suggestion Theorem Theory Three-dimensional space (mathematics) Time derivative Topology Trigonometric polynomial Uniqueness theorem Unit vector Variable (mathematics) Vector field Velocity Without loss of generality |
| ISBN | 1-4008-8270-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. Van der Pol's Equation for Relaxation Oscillations / Cartwright, M. L. -- II. Perturbations of Linear Systems with Constant Coefficients Possessing Periodic Solutions / Coddington, E. A. / Levinson, N. -- III. Dynamical Systems with Stable Structures / DeBaggis, H. F. -- IV. Notes on Differential Equations / Lefsehetz, Solomon -- V. A method for the Calculation of Limit Cycles by Successive Approximation / McCarthy, John -- VI. Asymptotic Expansions of Solutions of Systems of Ordinary Linear Differential Equations Containing a Parameter / Turrittin, H. L. |
| Record Nr. | UNINA-9910154745103321 |
Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Addition
Almost periodic function Analytic function Analytic manifold Asymptote Asymptotic analysis Banach space Basis (linear algebra) Betti number Big O notation Boundary (topology) Boundary value problem Boundedness Calculation Cartesian coordinate system Characteristic equation Characteristic exponent Coefficient matrix Coefficient Combination Complex number Complex space Connected space Continuous function Counterexample Curve Degeneracy (mathematics) Degrees of freedom (statistics) Derivative Determinant Differentiable function Differential equation Dissipative system Eigenvalues and eigenvectors Equation Existence theorem Existential quantification Exterior (topology) First variation Fixed-point theorem Fundamental theorem Geometry Half-space (geometry) Homeomorphism Homotopy Hyperbolic sector Identity matrix Imaginary number Implicit function Infimum and supremum Integral curve Interior (topology) Intersection (set theory) Interval (mathematics) Invertible matrix Jacobian matrix and determinant Jordan curve theorem Limit cycle Limit point Limit set Line at infinity Linear approximation Linear differential equation Linear equation Linear map Lipschitz continuity Matrix (mathematics) Monotonic function N-vector Nonlinear system Ordinary differential equation Parameter Parametric equation Parametrization Partial derivative Periodic function Phase plane Phase space Point at infinity Polynomial Projective plane Quantity Saddle point Scientific notation Second derivative Separatrix (mathematics) Sign (mathematics) Simultaneous equations Singular perturbation Special case Submanifold Summation Tangent Taylor series Theorem Theory Topology Vector field Velocity Zero of a function |
| ISBN | 1-4008-8217-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter |
| Record Nr. | UNINA-9910154750203321 |
Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta
| Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta |
| Autore | Giaquinta Mariano |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (309 pages) |
| Disciplina | 515/.64 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Calculus of variations
Multiple integrals Differential equations, Elliptic |
| Soggetto non controllato |
A priori estimate
Analytic function Boundary value problem Calculus of variations Coefficient Compact space Convex function Convex set Corollary Counterexample David Hilbert Dense set Derivative Differentiable function Differential geometry Dirichlet integral Dirichlet problem Division by zero Ellipse Energy functional Equation Estimation Euler equations (fluid dynamics) Existential quantification First variation Generic property Harmonic function Harmonic map Hausdorff dimension Hölder's inequality I0 Infimum and supremum Limit superior and limit inferior Linear equation Maxima and minima Maximal function Metric space Minimal surface Multiple integral Nonlinear system Obstacle problem Open set Partial derivative Quantity Semi-continuity Singular solution Smoothness Sobolev space Special case Stationary point Subsequence Subset Theorem Topological property Topology Uniform convergence Variational inequality Weak formulation Weak solution |
| ISBN | 1-4008-8162-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface / Giaquinta, Mariano -- Chapter I: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems / Giaquinta, Mariano -- Chapter II: An Introduction to the Regularity Problem -- Chapter III: Linear Systems: The Regularity Theory -- Chapter IV: Systems in Variation: The Indirect Approach to the Regularity -- Chapter V: Reverse Holder Inequalities And LP-Estimates -- Chapter VI: Nonlinear Elliptic Systems: The Direct Approach to Regularity -- Chapter VII: Nonlinear Elliptic Systems: Special Structures and Everywhere Regularity -- Chapter VIII: A Few Remarks and Extensions -- Chapter IX: Direct Methods for the Regularity -- References -- Backmatter |
| Record Nr. | UNINA-9910154751703321 |
Giaquinta Mariano
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on minimal submanifolds / / edited by Enrico Bombieri
| Seminar on minimal submanifolds / / edited by Enrico Bombieri |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , 1983 |
| Descrizione fisica | 1 online resource (368 pages) : illustrations |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Minimal submanifolds |
| Soggetto non controllato |
A priori estimate
Analytic function Banach space Boundary (topology) Boundary value problem Bounded set (topological vector space) Branch point Cauchy–Riemann equations Center manifold Closed geodesic Codimension Coefficient Cohomology Compactness theorem Comparison theorem Configuration space Conformal geometry Conformal group Conformal map Continuous function Cross product Curve Degeneracy (mathematics) Diffeomorphism Differential form Dirac operator Discrete group Divergence theorem Eigenvalues and eigenvectors Elementary proof Equation Existence theorem Existential quantification Exterior derivative First variation Free boundary problem Fundamental group Gauss map Geodesic Geometry Group action Hamiltonian mechanics Harmonic function Harmonic map Hausdorff dimension Hausdorff measure Homotopy group Homotopy Hurewicz theorem Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Hypersurface Implicit function theorem Infimum and supremum Injective function Inner automorphism Isolated singularity Isometry group Isoperimetric problem Klein bottle Kleinian group Limit set Lipschitz continuity Mapping class group Maxima and minima Maximum principle Minimal surface of revolution Minimal surface Monotonic function Möbius transformation Norm (mathematics) Orthonormal basis Parametric surface Periodic function Poincaré conjecture Projection (linear algebra) Regularity theorem Riemann surface Riemannian manifold Schwarz reflection principle Second fundamental form Semi-continuity Simply connected space Special case Stein's lemma Subalgebra Subgroup Submanifold Subsequence Support (mathematics) Symplectic manifold Tangent space Teichmüller space Theorem Trace (linear algebra) Uniformization Uniqueness theorem Variational principle Yamabe problem |
| ISBN | 1-4008-8143-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- Backmatter |
| Record Nr. | UNINA-9910154753403321 |
| Princeton, NJ : , : Princeton University Press, , 1983 | ||
| Lo trovi qui: Univ. Federico II | ||
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