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Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
| Autore | Sochacki James |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
| Disciplina | 515.35 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-24587-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Introduction: The Linear ODE: x′ = bx + c -- Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c -- Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr -- Chapter 4. Egg 3: The First Order Sine ODE: x′ = sin x -- Chapter 5. Egg 4: The Second Order Exponent ODE: x′′ = −xr -- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum -- Chapter 7. Egg 6: Newton’s Method and the Steepest Descent Method -- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs -- Chapter 9. Egg 8: The Periodic Planar ODE: x′ = −y + ax2 + bxy + cy2 ; y′ = x + dx2 + exy + fy2 -- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z′ = az2 + bz + c -- Chapter 11. Egg 10: Newton’s N-Body Problem -- Chapter 12. Egg 11: ODEs and Conservation Laws -- Chapter 13. Egg 12: Delay Differential Equations -- Chapter 14. An Overview of Our Dozen ODEs -- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series -- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem -- Chapter 17. Appendix 3. A PDE Example: Burgers’ Equation -- References. |
| Record Nr. | UNISA-996518463403316 |
Sochacki James
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Asymptotic analysis
| Asymptotic analysis |
| Pubbl/distr/stampa | Amsterdam, : North-Holland; IOS Press, 1988- |
| Descrizione fisica | v. ; 27 cm |
| Disciplina |
515
515.35 |
| ISSN | 0921-7134 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-UFI0042948 |
| Amsterdam, : North-Holland; IOS Press, 1988- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Asymptotic analysis : from theory to application / / edited by F. Verhulst
| Asymptotic analysis : from theory to application / / edited by F. Verhulst |
| Edizione | [1st ed. 1979.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1979] |
| Descrizione fisica | 1 online resource (VIII, 248 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Differential equations - Asymptotic theory |
| ISBN | 3-540-35332-1 |
| Classificazione | 34Exx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | On matching principles -- Singular perturbations of spectra -- Feed-back control of singularly perturbed heating problems -- Singular perturbation methods in a one-dimensional free boundary problem -- Bifurcation analysis of a non linear free boundary problem from plasma physics -- Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems -- Boundary layers in large scale ocean circulation -- Asymptotic methods for the Volterra-Lotka equations -- Small random perturbations of dynamical systems with applications in population genetics -- The description of jumps between Kepler orbits by boundary layer methods -- The 1:2:1-resonance, its periodic orbits and integrals -- Approximations of higher order resonances with an application to Contopoulos' model problem -- On the asymptotic validity of perturbation methods for hyperbolic differential equations. |
| Record Nr. | UNISA-996466645903316 |
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Asymptotic analysis 2. : surveys and new trends / edited by F. Verhulst
| Asymptotic analysis 2. : surveys and new trends / edited by F. Verhulst |
| Pubbl/distr/stampa | Berlin [etc.] : Springer, 1983 |
| Descrizione fisica | 497 p. ; 25 cm. |
| Disciplina | 515.35 |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Equazioni differenziali |
| ISBN | 3-540-12286-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNIBAS-000014378 |
| Berlin [etc.] : Springer, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. della Basilicata | ||
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Asymptotic analysis for periodic structures / A. Bensoussan, J.-L. Lions, G. Papanicolaou
| Asymptotic analysis for periodic structures / A. Bensoussan, J.-L. Lions, G. Papanicolaou |
| Autore | Bensoussan, Alain <1940- > |
| Pubbl/distr/stampa | Amsterdam : North-Holland Publishing Company, 1978 |
| Descrizione fisica | XXIV, 700 p. ; 23 cm |
| Disciplina | 515.35 |
| Collana | Studies in mathematics and its applications |
| Soggetto non controllato | Louis |
| ISBN | 0-444-85172-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000838240403321 |
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Bensoussan, Alain <1940- >
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| Amsterdam : North-Holland Publishing Company, 1978 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Asymptotic analysis for periodic structures / A. Bensoussan, J. L. Lions, G. Papanicolaou
| Asymptotic analysis for periodic structures / A. Bensoussan, J. L. Lions, G. Papanicolaou |
| Autore | Bensoussan, Alain <1940- > |
| Pubbl/distr/stampa | Amsterdam [etc.] : North-Holland, 1978 |
| Descrizione fisica | xiii, 700 p. ; 22 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) |
Lions, Jacques Louis <1928-2001>
Papanicolaou, George |
| Collana | Studies in mathematics and its applications |
| Soggetto non controllato | Equazioni differenziali e integro - Differenziali |
| ISBN | 0-444-85172-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000959790403321 |
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Bensoussan, Alain <1940- >
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| Amsterdam [etc.] : North-Holland, 1978 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Asymptotic analysis from theory to application / edited by F. Verhulst
| Asymptotic analysis from theory to application / edited by F. Verhulst |
| Autore | Verhulst, Ferdinand <1939- > |
| Pubbl/distr/stampa | Berlin ; heidelberg ; New York : Springer-Verlag, 1979 |
| Descrizione fisica | 240 p. : ill. ; 25 cm |
| Disciplina | 515.35 |
| Collana | Lecture note in mathematics |
| Soggetto non controllato |
Equazioni differenziali
Teoria asintotica |
| ISBN |
3-540-09245-5
0-387-09245-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000479800403321 |
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Verhulst, Ferdinand <1939- >
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| Berlin ; heidelberg ; New York : Springer-Verlag, 1979 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Asymptotic analysis from theory to applications / edited by F. Verhulst
| Asymptotic analysis from theory to applications / edited by F. Verhulst |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1979 |
| Descrizione fisica | 240 p. ; 24 cm |
| Disciplina | 515.35 |
| Collana | Lecture notes in mathematics |
| ISBN | 3-540-09245-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000838250403321 |
| Berlin : Springer-Verlag, 1979 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Asymptotic analysis II : surveys and new trends / / edited by F. Verhulst
| Asymptotic analysis II : surveys and new trends / / edited by F. Verhulst |
| Edizione | [1st ed. 1983.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer-Verlag, , [1983] |
| Descrizione fisica | 1 online resource (494 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations - Asymptotic theory
Perturbation (Mathematics) Mathematics |
| ISBN | 3-540-39612-8 |
| Classificazione | 34Exx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Dynamical systems driven by small white noise: Asymptotic analysis and applications -- to the paper by V.F. Butuzov and A.B. Vasil’eva -- Singularly perturbed differential equations of parabolic type -- Asymptotic methods in mathematical biology -- to the paper by A.S. Bakaj -- Integral manifolds and adiabatic invariants of systems in slow evolution -- Asymptotic analysis of hamiltonian systems -- Homogenization method for the study of composite media -- Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications -- Slow/fast decoupling for linear boundary value problems -- Numerical aspects of singular perturbation problems -- The (Driven) Josephson equation: An exercise in asymptotics -- Periodic solutions of the autonomous josephson equation -- On the interaction of flames and sound -- to the research papers -- Application of a combined Galerkin-averaging method -- Asymptotic expansions for singularly perturbed differential matrix riccati equations with applications to linear — Quadratic optimization problems -- Singular perturbations of epidemic models involving a threshold -- An asymptotic theory for the free vibrations of an iced two-conductor bundled transmission line -- Linear methods in nonlinear problems with a small parameter -- Relaxation oscillations including a standard chase on French ducks. |
| Record Nr. | UNISA-996466869903316 |
| Berlin, Germany : , : Springer-Verlag, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Asymptotic analysis of singular parturbations / W. Eckhaus
| Asymptotic analysis of singular parturbations / W. Eckhaus |
| Autore | Eckhaus, Wiktor |
| Pubbl/distr/stampa | Amsterdam : North-Holland Publishing Company, 1979 |
| Descrizione fisica | XI, 287 p. ; 23 cm |
| Disciplina | 515.35 |
| Collana | Studies in mathematics and its applications |
| ISBN | 0-444-85306-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000838260403321 |
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Eckhaus, Wiktor
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| Amsterdam : North-Holland Publishing Company, 1979 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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