On a boundary value problem for quasi-linear differential inclusions of evolution.
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Marian Muresan (1994)
Collectanea Mathematica
S. Zaidman (1971)
Rendiconti del Seminario Matematico della Università di Padova
Emilia Perri (1983)
Rendiconti del Seminario Matematico della Università di Padova
Bogdan Rzepecki (1983)
Annales Polonici Mathematici
Zouyed, F., Rebbani, F., Boussetila, N. (2007)
Abstract and Applied Analysis
Ireneusz Kubiaczyk (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Let E be a metrizable locally convex topological vector space x ∈ E, and let D be a closed convex subset of E such that x ∈ D. In this paper we prove that the weakly sequentially continuous mapping F: D ∪ D which satisfies V̅ = c̅o̅n̅v̅({x} ∪ F(V))⇒ V is relatively weakly compact, has a fixed point. Employing the above results we prove the existence theorem for the Cauchy problem x'(t) = f(t,x(t)), x(0) = x₀. As compared with the previous...
Satyanarayan Rao, Aribindi (2004)
International Journal of Mathematics and Mathematical Sciences
Maitre, Emmanuel (2003)
International Journal of Mathematics and Mathematical Sciences
Zuomao Yan (2011)
Annales Polonici Mathematici
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
Mustafa R. S. Kulenović (1982)
Czechoslovak Mathematical Journal
M. Skendzic (1973)
Publications de l'Institut Mathématique [Elektronische Ressource]
Marija Skendžić (1973)
Publications de l'Institut Mathématique
Naito, Toshiki, Nguyen Van Minh, Shin, Jong Son (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Zbigniew Grande (1993)
Mathematica Slovaca
Gerd Herzog (1998)
Colloquium Mathematicae
We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
Guillaume, S., Syam, A. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Soumia Saïdi, Mustapha Fateh Yarou (2015)
Annales Polonici Mathematici
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
George N. Galanis (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
N'guérékata, Gaston M. (2004)
International Journal of Mathematics and Mathematical Sciences
N'Guerekata, Gaston M. (2001)
International Journal of Mathematics and Mathematical Sciences
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