The nonlinear periodic second order boundary value problem
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The periodic problem for semilinear differential inclusions in Banach spaces
Ralf Bader (1998)
Commentationes Mathematicae Universitatis Carolinae
Sufficient conditions on the existence of periodic solutions for semilinear differential inclusions are given in general Banach space. In our approach we apply the technique of the translation operator along trajectories. Due to recent results it is possible to show that this operator is a so-called decomposable map and thus admissible for certain fixed point index theories for set-valued maps. Compactness conditions are formulated in terms of the Hausdorff measure of noncompactness.
The product formula.
Genaro López Acedo (1991)
Collectanea Mathematica
A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor is of the Identity+Compact...
The semilinear Feng and FMV spectra.
Catană, Petronela (2007)
Balkan Journal of Geometry and its Applications (BJGA)
The topological degree method for equations of the Navier-Stokes type.
Dmitrienko, V.T., Zvyagin, V.G. (1997)
Abstract and Applied Analysis
Topological and approximation methods of degree theory of set-valued maps [Book]
Wojciech Kryszewski (1994)
Topological degree and application to a parabolic variational inequality problem.
Addou, A., Mermri, B. (2001)
International Journal of Mathematics and Mathematical Sciences
Topological degree for maximal monotone operators and application to parametric optimization problems.
Riahi, Hassan (1994)
Journal of Convex Analysis
Two topological definitions of a Nielsen number for coincidences of noncompact maps.
Andres, Jan, Väth, Martin (2004)
Fixed Point Theory and Applications [electronic only]
Variational and topological methods for operator equations involving duality mappings on Orlicz-Sobolev spaces.
Dinca, George, Matei, Pavel (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Weak solutions of degenerated quasilinear elliptic equations of higher order.
Drábek, Pavel, Kufner, Alois, Nicolosi, Francesco (1996)
International Journal of Mathematics and Mathematical Sciences
Об ориентированной степени одного класса возмущений фредгольмовых отображений и бифуркации решений нелинейной краевой задачи с некомпактными возмущениями
В.Г. Звягин (1991)
Matematiceskij sbornik
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