Results 261 to 270 of about 579,120 (288)

Systems with Nonlinear Boundary Conditions

1992
This chapter gives a treatment for coupled system of equations with nonlinear boundary conditions analogous to that for coupled systems with linear boundary conditions. The system under consideration can be coupled through the boundary conditions or through the differential equations. For systems of two equations coupled through the boundary conditions,
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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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Heat conduction with nonlinear boundary condition

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1981
The paper is concerned with determination of the solution of the one-dimensional heat equation in a semi-infinite region subject to a nonlinear boundary condition at the surface. The exact solution is obtained and is expressed in infinite series. It is shown that the series is absolutely and uniformly convergent.
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On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals

Proceedings of the Edinburgh Mathematical Society, 2014
AbstractIn this paper we consider the existence of a positive solution to boundary-value problems with non-local nonlinear boundary conditions, the archetypical example being −y″(t) = λf(t,y(t)),t∈ (0, 1),y(0) =H(φ(y)),y(1) = 0. Here,His a nonlinear function,λ> 0 is a parameter andφis a linear functional that is realized as a Lebesgue—Stieltjes ...
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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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Stability and nonlinear vibration analysis of fluid-conveying composite pipes with elastic boundary conditions

Thin-Walled Structures, 2022
Jie Zhou, Ying Hui Li
exaly  

Nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolt loosening boundary conditions

Journal of Sound and Vibration, 2021
Hui Li, Zhaoye Qin, Jian Xiong
exaly  

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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Other Boundary Conditions, Nonlinear Diffusion, Asymptotics

1989
In this Chapter, we consider various extensions of the theories in the last chapter in order to include more realistic and general problems. In section 3.2, we study the situation where the boundary condition is coupled, mixed and nonlinear. In prey-predator interaction for example, the predator may be under control at the boundary of the medium, while
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Nonlinear vibrations of a slightly curved beam with nonlinear boundary conditions

International Journal of Mechanical Sciences, 2020
Si-Qin Ye, Xiao-Ye Mao, Hu Ding
exaly