Results 281 to 290 of about 65,332 (306)

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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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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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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A Galerkin Method for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

SIAM Journal on Numerical Analysis, 1979
A Galerkin method for nonlinear parabolic equations with nonlinear boundary conditions is analyzed. The parabolic equations studied are more general than those previously analyzed and new optimal order error estimates are obtained. An extrapolation in time is used to yield a system of linear algebraic equations to be solved at each time level.
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Stability and nonlinear vibration analysis of fluid-conveying composite pipes with elastic boundary conditions

Thin-Walled Structures, 2022
Xueping Chang, Yinghui Li
exaly  

A boundary shape function method for analyzing nonlinear composite beams, subjecting to nonlinear boundary moment conditions

Composite Structures, 2021
Chein-Shan Liu
exaly  

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  

A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions

Journal of Computational Physics, 2022
Jan Nordstrom, Andrew R Winters
exaly