Results 261 to 270 of about 9,215,429 (289)

Equations with Nonlinear Boundary Conditions

1992
Many of the results given in the previous chapters can be extended to problems with nonlinear boundary conditions by the method of upper and lower solutions. This chapter is devoted to an extension of this method to both parabolic and elliptic boundary-value problems where the boundary function h is replaced by a nonlinear function. This extension also
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Nonlinear Elliptic Equations with Nonlinear Boundary Conditions

1976
Publisher Summary This chapter focuses on nonlinear elliptic equations with nonlinear boundary conditions, and discusses mildly nonlinear elliptic boundary value problems (BVPs). For the study of the stability of the solutions of the parabolic initial-boundary value problem, one has to have a good knowledge of the steady states, that is, of the ...
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NUMERICAL BLOW-UP FOR A NONLINEAR PROBLEM WITH A NONLINEAR BOUNDARY CONDITION

Mathematical Models and Methods in Applied Sciences, 2002
In this paper we study numerical approximations for positive solutions of a nonlinear heat equation with a nonlinear boundary condition. We describe in terms of the nonlinearities when solutions of a semidiscretization in space exist globally in time and when they blow up in finite time. We also find the blow-up rates and the blow-up sets.
Ferreira, Raúl, Groisman, Pablo, Rossi, Julio D.   +2 more
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Nonlinear vibrations of beams with various boundary conditions.

AIAA Journal, 1968
Amplitude frequency relations of nonlinear vibrations in uniform beams with various boundary conditions using perturbation ...
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Attractor for a Degenerate Nonlinear Diffusion Problem with Nonlinear Boundary Condition

Journal of Dynamics and Differential Equations, 1998
The authors study the following initial-boundary value problem: \[ u_t= \Delta\varphi(u)+ f(u)\quad\text{in }Q= \Omega\times (0,\infty),\tag{1} \] \[ {\partial\varphi(u)\over\partial n}= g(u)\quad\text{on }S= \partial\Omega\times [0,\infty),\quad u(x,0)= u_0(x)\quad\text{on }\Omega, \] where \(\Omega\subseteq \mathbb{R}^N\) is a smooth bounded domain ...
Andreu, F., Mazón, J. M., Simondon, F., Toledo, J.   +3 more
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Ordinary Differential Equations with Nonlinear Boundary Conditions

gmj, 2002
Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.
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Boundary value problems with nonlinear boundary conditions of noncompact intervals

1998
The authors consider the following boundary value problem \[ x'= A(t,x)x+ f(t,x),\quad Lx= H(x),\tag{1} \] where \(A(t,x)\) is a matrix function defined and continuous on \([0,\infty)\times \mathbb{R}^N\), \(f(t,x)\) is a vector function defined and continuous on \([0,\infty)\times \mathbb{R}^N\) with values in \(\mathbb{R}^N\), \(L\) is a bounded ...
MARINO, Giuseppe, VOLPE R.
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Boundary value problems with nonlinear boundary conditions in Banach spaces

1990
The existence of a solution of \(x'=A(t,x)x+f(t,x)\) which satisfies the condition \(Lx=H(x)\) is proved where X is a Banach space, \(J=[a,b]\), A(t,x) is a bounded operator defined and continuous on \(J\times X\), f(t,x) is a continuous function on \(J\times X\), L: C(J,X)\(\to X\) is a bounded linear operator and H: C(J,X)\(\to X\) is a continuous ...
MARINO, Giuseppe, PIETRAMALA, Paolamaria
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Nonlinear vibrations of a slightly curved beam with nonlinear boundary conditions

International Journal of Mechanical Sciences, 2020
Li-Qun Chen, Jc Ji, Hu Ding
exaly  

Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions

Mathematics and Computers in Simulation, 2022
Chein-Shan Liu, Ji Lin
exaly