Nonlinear systems of differential inequalities and solvability of certain boundary value problems.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Rachůnková, Irena, Tvrdý, Milan (2001)
Journal of Inequalities and Applications [electronic only]
Cerda, Patricio, Ubilla, Pedro (2008)
Boundary Value Problems [electronic only]
Pierluigi Benevieri, João Marcos do Ó, Everaldo Souto de Medeiros (2007)
Banach Center Publications
We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J. Mawhin, we use an approach based on the Leray-Schauder degree.
Anderson, Douglas R. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Christopher S. Goodrich (2012)
Commentationes Mathematicae Universitatis Carolinae
In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel...
Rachůnková, Irena, Tvrdý, Milan (2004)
Abstract and Applied Analysis
Irena Rachůnková (1990)
Czechoslovak Mathematical Journal
S. Staněk (1992)
Annales Polonici Mathematici
A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
Purnaras, Ioannis K. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
O'Regan, Donal (1995)
Journal of Applied Mathematics and Stochastic Analysis
de Coster, C., Fabry, C., Munyamarere, F. (1994)
International Journal of Mathematics and Mathematical Sciences
El Amrouss, A.R., Moussaoui, M. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Carl, Siegfried, Heikkilä, S. (2005)
Boundary Value Problems [electronic only]
Sámuel Peres (2014)
Czechoslovak Mathematical Journal
We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing open...
Michal Fečkan (1997)
Annales Polonici Mathematici
Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.
Sun, Yong-Ping (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
G. A. Afrouzi, A. Hadjian, S. Heidarkhani (2013)
Annales Polonici Mathematici
We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.
Kalas, Josef (2004)
Abstract and Applied Analysis
Vladimír Vlček (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Guedda, Mohammed (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]