On the global solvability of a class of fourth-order nonlinear boundary value problems.
Elgindi, M.B.M., Guan, Zhengyuan (1997)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Energy quantization and mean value inequalities for nonlinear boundary value problems”
On the global solvability of a class of fourth-order nonlinear boundary value problems.
Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions
D. R. Dunninger, Haiyan Wang (1998)
Annales Polonici Mathematici
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We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.
An overview of the lower and upper solutions method with nonlinear boundary value conditions.
Cabada, Alberto (2011)
Boundary Value Problems [electronic only]
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On nonlinear hemivariational inequalities
Nikolaos S. Papageorgiou, George Smyrlis
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We conduct a detailed study of the existence theory for nonlinear hemivariational inequalities of second order. The problems under consideration are strongly nonlinear and not necessarily of variational nature. So we employ a variety of tools in order to solve them. More precisely, we use the general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder principle, nonsmooth critical point theory coupled with Landesman-Lazer...
Positive solutions for systems of nth order three-point nonlocal boundary value problems.
Henderson, J., Ntouyas, S.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Identification problem for nonlinear beam -- extension for different types of boundary conditions
Radová, Jana, Machalová, Jitka
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Identification problem is a framework of mathematical problems dealing with the search for optimal values of the unknown coefficients of the considered model. Using experimentally measured data, the aim of this work is to determine the coefficients of the given differential equation. This paper deals with the extension of the continuous dependence results for the Gao beam identification problem with different types of boundary conditions by using appropriate analytical inequalities...
Existence of extremal solutions of a three-point boundary value problem for a general second order -Laplacian integro-differential equation.
Ahmad, Bashir, Alsaedi, Ahmed (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On the existence of equilibrium states of an elastic beam on a nonlinear foundation.
Elgindi, M.B.M., Yen, D.H.Y. (1993)
International Journal of Mathematics and Mathematical Sciences
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A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions
Dimitrios A. Kandilakis, Manolis Magiropoulos (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.
About a problem arising in chemical reactor theory.
Alves, M. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Injective weak solutions in second-gradient nonlinear elasticity
Timothy J. Healey, Stefan Krömer (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on...