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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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On boundary value problems for nonlinear parabolic equations

1957
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Some nonlinear boundary value problems

Archive for Rational Mechanics and Analysis, 1967
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Positive solutions for boundary value problem of nonlinear fractional differential equation

Journal of Mathematical Analysis and Applications, 2005
Zhanbing Bai
exaly  

Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order

Nonlinear Analysis: Theory, Methods & Applications, 2011
Guotao Wang, Bashir Ahmad, Lihong Zhang
exaly  

A method of solving a nonlinear boundary value problem with a parameter for a loaded differential equation

Mathematical Methods in the Applied Sciences, 2020
Dulat Dzhumabaev   +2 more
exaly  

Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order

Computers and Mathematics With Applications, 2010
Moustafa El-shahed, Juan J Nieto
exaly  

Nonlinear boundary value problems with multiple solutions

Nonlinear Analysis: Theory, Methods & Applications, 2001
Baxley, John V., Haywood, Lyndsey Jessup
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