About the interface of some nonlinear diffusion problems.
J. Goncerzewicz, W. Okrasinski (1994)
Extracta Mathematicae
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J. Goncerzewicz, W. Okrasinski (1994)
Extracta Mathematicae
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J. Goncerzewicz, N. Okrasinski (1994)
Extracta Mathematicae
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W. Mydlarczyk (1991)
Annales Polonici Mathematici
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W. Okrasinski (1992)
Extracta Mathematicae
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G. Karakostas (1987)
Colloquium Mathematicae
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Alves, M. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Jesús M. Fernández Castillo, W. Okrasinski (1991)
Extracta Mathematicae
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In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.
W. Okrasinski (1993)
Extracta Mathematicae
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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.
M. Niedziela (2008)
Applicationes Mathematicae
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The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.
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.
Maroun, Mariette (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Lomtatidze, A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Amster, P., De Nápoli, P. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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