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Impulsive boundary value problems with nonlinear boundary conditions
Nonlinear Analysis: Theory, Methods & Applications, 2008The authors present sufficient conditions for the existence of a solution to a second order boundary value problem with impulses. The problem has nonlinear boundary conditions. The authors assume the existence of lower and upper solutions associated with the problem considered and that the nonlinearity of the differential equation satisfies a Nagumo ...
Shen, Jianhua, Wang, Weibing
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A nonlinear thermoelastic system with nonlinear boundary conditions
Journal of Evolution Equations, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clark, H. R. +3 more
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Condensation modeling of the linear structure with nonlinear boundary conditions
Archive of applied mechanics (1991), 2021Zhisai Ma +3 more
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Nonlinear Elliptic Equations with Nonlinear Boundary Conditions
1976Publisher 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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Ordinary Differential Equations with Nonlinear Boundary Conditions
gmj, 2002Abstract 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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SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS
International Journal of Bifurcation and Chaos, 2002In this paper we survey some recent results on the behavior of solutions of parabolic equations subjected to nonlinear boundary conditions. The results range from local existence and regularity of solutions, to global existence, dissipativeness and existence of attractors, and to blow-up in finite time.
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Improvement of nonlinear impedance boundary conditions
IEEE Transactions on Magnetics, 2002Recently, the impedance boundary conditions (IBCs) for thin conductive and highly permeable shieldings have been extended to nonlinear material characteristics, which are modeled by the effective permeability. In this paper, the coupling of these nonlinear IBCs with the finite-element method (FEM) outside the shielding material is improved.
A. Kost +3 more
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Systems with Nonlinear Boundary Conditions
1992This 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
1992Many 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 free vibration of spinning cylindrical shells with arbitrary boundary conditions
Applied Mathematics and Mechanics, 2022Qingdong Chai, Yan-Qun Wang, M. Teng
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