Results 231 to 240 of about 12,307,675 (270)

On Nonlinear Boundary Value Problems for Differential Inclusions

Differential Equations, 2023
We consider autonomous differential inclusions with nonlinear boundary conditions. Sufficient conditions for the existence of solutions in the class of absolutely continuous functions are obtained for these inclusions. It is shown that the corresponding existence theorem applies to the Cauchy problem and the antiperiodic boundary value problem.
Arutyunov, A. V., Zhukovskaya, Z. T., Zhukovskiy, S. E.   +2 more
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Some Nonlinear Boundary Value Problems

SIAM Journal on Mathematical Analysis, 1976
Let $\Omega \subset R^m $ be a bounded domain and ${\bf L}$ a second order uniformly strongly elliptic partial differential operator. Let ${\bf B}$ be a linear boundary operator. Suppose $f(x,u)$ and $g(x,u)$ are functions on $\Omega \times R^1 $ which are nonincreasing with respect to u for sufficiently large values of $| u |$.
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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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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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A novel method for nonlinear boundary value problems

Journal of Computational and Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruimin Zhang, Yingzhen Lin
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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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Multiplicity of Solutions of Nonlinear Boundary Value Problems

SIAM Journal on Mathematical Analysis, 1986
The authors consider the one-dimensional Neumann problem \[ (N)\quad u''+g(u)=s+h(t),\quad u'(0)=0=u'(\pi), \] where \(g\in C^ 1(R)\) and g' never vanishes on an interval. Suppose that \(\lim_{u\to - \infty}g'(u)=a,\lim_{u\to +\infty}g'(u)=b,\) where \(b\in ((n-1)^ 2,n^ 2)\) for some integer \(n\geq 1\) and \(h\in C^ 1[0,2\Pi]\). The main result is the
Hart, D. C., Lazer, A. C., McKenna, P. J.   +2 more
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Nonlinear boundary value problems and competition in the chemostat

Nonlinear Analysis: Theory, Methods & Applications, 1994
The authors seek the positive solutions to the boundary value problem \[ (1)\qquad y^{\prime\prime}_ i+ m_ i f_ i(x,y_ 1,y_ 2,\dots, y_ n)y_ i= 0,\quad i= 1,2,\dots,n,\quad 0\leq x\leq 1, \] \[ (2)\quad a_ i y_ i(0)- a_ i' y_ i'(0)=0, \] \[ (3)\quad b_ i y_ i(1)+ b_ i' y_ i'(1)= 0,\;i=1,2,\dots,n, \] where \(a_ i,a_ i',b_ i,b_ i'\geq 0\), \(a_ i+ a_ i'>
Baxley, JV, Thompson, HB
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Contraction mappings for nonlinear boundary value problems

Computing, 1968
This paper treats mildly nonlinear boundary value problems of the form $$\begin{gathered} y'' (t) + p (t) y'(t) + f(t,y (t)) = 0 \hfill \\ y(\alpha ) = A, y(b) = B \hfill \\ \end{gathered} $$ byPicard-like methods.A priori bounds on a solution are used to ...
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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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