Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations.
Bahuguna, D. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Bahuguna, D. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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M. Benchohra, S. K. Ntouyas (2001)
Applicationes Mathematicae
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We investigate the existence of solutions on a compact interval to second order boundary value problems for a class of functional differential inclusions in Banach spaces. We rely on a fixed point theorem for condensing maps due to Martelli.
Irene Benedetti (2004)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.
Irene Benedetti, Elena Panasenko (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We study the relation between the solutions set to a perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in a Banach space and the solutions set to the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of δ-solutions to the original problem.
Michael Albert, John A. Baker (1983)
Annales Polonici Mathematici
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IRINA CHIS-STER (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Mouffak Benchohra, Lech Górniewicz, Sotiris K. Ntouyas (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
A. Pełczyński (1968)
Studia Mathematica
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Byszewski, Ludwik, Akca, Haydar (1997)
Journal of Applied Mathematics and Stochastic Analysis
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V. Murugan, P. V. Subrahmanyam (2007)
Annales Polonici Mathematici
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We give a set of sufficient conditions for the existence of differentiable solutions for a functional equation involving a series of iterates, using a method different from that of Baker and Zhang [Ann. Polon. Math. 73 (2000)].
Paul H. Rabinowitz (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
Roman Sikorski (1948)
Colloquium Mathematicum
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Abada Nadjat, Benchohra Mouffak, Hammouche Hadda, Ouahab Abdelghani (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.