Approximation of solutions to evolution integrodifferential equations.
Bahuguna, D., Srivastava, S.K. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “On an initial-boundary value problem for the nonlinear Schrödinger equation.”
Approximation of solutions to evolution integrodifferential equations.
Periodic solutions of nonlinear Schrödinger equations
Kastenholz, Michael, Lange, Horst, Nieder, Dirk (1989)
Portugaliae mathematica
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On iterative solution of nonlinear heat-conduction and diffusion problems
Herbert Gajewski (1977)
Aplikace matematiky
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The present paper deals with the numerical solution of the nonlinear heat equation. An iterative method is suggested in which the iterations are obtained by solving linear heat equation. The convergence of the method is proved under very natural conditions on given input data of the original problem. Further, questions of convergence of the Galerkin method applied to the original equation as well as to the linear equations in the above mentioned iterative method are studied. ...
Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations.
Ye, Yaojun (2007)
Differential Equations & Nonlinear Mechanics
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Dynamic von Kármán equations involving nonlinear damping: Time-periodic solutions
Eduard Feireisl (1989)
Aplikace matematiky
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In the paper, time-periodic solutions to dynamic von Kármán equations are investigated. Assuming that there is a damping term in the equations we are able to show the existence of at least one solution to the problem. The Faedo-Galerkin method is used together with some basic ideas concerning monotone operators on Orlicz spaces.
Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.
Guo, Dajun (1995)
Journal of Applied Mathematics and Stochastic Analysis
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An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
Marián Slodička (1990)
Aplikace matematiky
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One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.