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Nonlinear vibrations of a slightly curved beam with nonlinear boundary conditions
International Journal of Mechanical Sciences, 2020Si-Qin Ye +4 more
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Nonlinear vibrations of beams with Bouc–Wen hysteretic boundary conditions
Nonlinear dynamics, 2022B. Painter, Giovanni Ferrari, M. Amabili
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Heat conduction with nonlinear boundary condition
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1981The 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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Boundary value problems with nonlinear boundary conditions of noncompact intervals
1998The 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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Vibration of Flexible Structures Under Nonlinear Boundary Conditions
, 2017Xiao-Ye Mao, H. Ding, Liqun Chen
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Boundary value problems with nonlinear boundary conditions in Banach spaces
1990The 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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Blow-up in p-Laplacian heat equations with nonlinear boundary conditions
, 2016Juntang Ding, Xuhui Shen
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Other Boundary Conditions, Nonlinear Diffusion, Asymptotics
1989In 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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