Results 241 to 250 of about 464,112 (279)

Nonlinear multivalued boundary value problems

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2001
The authors prove existence theorems for the following problem: \[ (\|x'(t)\|^{p-2}x'(t))'\in A(x(t)) + F(t,x(t),x'(t)), \quad \text{a.e.
Bader, Ralf, Papageorgiou, Nikolaos S.
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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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Singular nonlinear boundary value problems

Applicable Analysis, 1999
We study nonlinear singular Sturm-Liouville bondary value prob lems associated with the operator , special cases of which come up in connection with the radial Laplace operator, and prove existence and uniqueness theorems under asymptotic non- resonance conditions on the slope of the nonlinear term with respect to the dependent variable.
Lemmert, Roland, Walter, Wolfgang
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Integrable nonlinear boundary value problems

Physics Letters A, 1992
Abstract We construct an extension of the spectral transform theory that allows us to build nonlinear systems of coupled wave which are integrable for arbitrary boundary values. These problems occur in many areas of physics and model generic processes of interaction of radiation (for which boundary values are prescribed) with matter (for which an ...
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Nonlinear multipoint boundary value problems

Nonlinear Analysis: Theory, Methods & Applications, 1986
We investigate the existence and number of solutions of nonlinear multipoint boundary value problems for second order ordinary differential equations. This class of problems is usually referred to as interior problems. The problem is considered as a perturbation of a linear problem.
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Nonlinear boundary value control problems

1986 25th IEEE Conference on Decision and Control, 1986
This note deals with a general notion of controllability (called l-controllability) of nonlinear control processes. Using topological degree arguments the author states sufficient conditions for local and global l-controllability by means only of controls belonging to a finite dimensional subspace of L?([0,1],IRm).
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Dimensional Reduction for Nonlinear Boundary Value Problems

SIAM Journal on Numerical Analysis, 1988
The paper describes a dimension reduction method for a class of strongly nonlinear boundary value problems. The idea is to choose a priori a basis of functions for one of the variables by ways of asymptotic expansions. Numerical experiments are presented.
Jensen, Soren, Babuška, Ivo
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Solution of nonlinear boundary value problems—X

Chemical Engineering Science, 1976
Abstract One-parameter imbedding techniques are used to solve a standard nonlinear boundary value problem appearing in reaction engineering. The one-parameter imbedding technique is formulated in a general form, the resulting procedures are classified as the one-loop and multi-loop methods.
Milan Kubíček, Martin Holodniok, Vladimír Hlaváček   +2 more
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Nonlinear initial-boundary value problems

Nonlinear Analysis: Theory, Methods & Applications, 1987
We prove global existence, uniqueness and exponential decay of a global solution, u(t), of a Cauchy problem in a Hilbert space H for an equation whose weak formulation is \[ \frac{d}{dt}(u',v)+\delta (u',v)+\alpha b(u,v)+\beta a(u,v)+(G(u),v)=0 \] where \('=d/dt\), (,) is the inner product in H, b(u,v), a(u,v) are given forms on subspaces \(U\subset W\)
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Multiple Solutions of Nonlinear Boundary‐Value Problems

Studies in Applied Mathematics, 1980
A class of nonlinear boundary‐value problems containing a parameter is studied analytically and numerically. It is shown that under certain circumstances there are two families of solutions when the parameter tends to zero; one family comprises small solutions and is obtained by regular perturbations, while the other family comprises finite solutions ...
Rosenblat, S., Szeto, R.
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