Results 241 to 250 of about 12,307,675 (270)

Perturbation Theory of Nonlinear Boundary-Value Problems

Journal of Mathematical Physics, 1969
A systematic perturbation theory is presented for the analysis of nonlinear problems. The lowest-order result is just that obtained by linearizing the problem, and the higher-order terms are the solutions of inhomogeneous linear problems. The essential feature of the method is the procedure for avoiding secular terms, which is based on the Lindstedt ...
Millman, M. H., Keller, J. B.
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An Existence Theorem for Nonlinear Boundary Value Problems

Canadian Mathematical Bulletin, 1975
Boundary value problems for ordinary differential equations have long been the subject of extensive research activity. In particular, questions concerning the existence and uniqueness of solutions for these problems have received much attention, and algebraic fixed-point theorems have served as important tools in such investigations. For example Picard
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Expansion Method for Nonlinear Boundary-Value Problems

Journal of Mathematical Physics, 1967
A homogeneous nonlinear boundary-value problem, which reduces to the Helmholtz equation when the nonlinearity is removed, is solved by an expansion method using as a basis the eigenfunctions of the linear Helmholtz equation. The nonlinear differential equation is reduced to a nonlinear algebraic system in the expansion coefficients, which can be easily
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Existence Theorems for Nonlinear Boundary Value Problems

Canadian Journal of Mathematics, 1974
Let C(I) denote the linear space of continuous functions from the compact interval I = [a, b] into n-dimensional real arithmetic space Rn, and let C′(I) be the subspace of continuously differentiable functions on I. A general boundary value problem for a first-order system of n ordinary differential equations on I is given ...
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A nonlinear hyperbolic free boundary value problem

Acta Mechanica, 1990
The aim of this paper is to study a nonlinear hyperbolic free boundary value problem. The technique of a non-iterative transformation to the numerical solution of a free boundary value problem is employed. (The hyperbolic model describes the time dependent velocity impact to nonlinear inhomogeneous thin rods).
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Nonlinear Three Point Boundary Value Problem

Sarajevo Journal of Mathematics
In this work, we establish sufficient conditions for the existence of solutions for a three point boundary value problem generated by a third order differential equation. We give sufficient conditions that allow us to obtain the existence of a nontrivial solution. Then by using the Leray Schauder nonlinear alternative we prove the existence of at least
Guezane-Lakoud, Assia, Frioui, A.
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An Inverse Boundary Value Problem Arising in Nonlinear Acoustics

SIAM Journal on Mathematical Analysis, 2023
Günther Uhlmann
exaly  

Some nonlinear boundary value problems

Archive for Rational Mechanics and Analysis, 1967
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A method of solving a nonlinear boundary value problem with a parameter for a loaded differential equation

Mathematical Methods in the Applied Sciences, 2020
Sandugash Mynbayeva, Elmira Bakirova, Dulat Dzhumabaev   +2 more
exaly  

An Existence of an Isolated Solution to Nonlinear Two-Point Boundary Value Problem with Parameter

Lobachevskii Journal of Mathematics, 2021
A T Assanova
exaly