Impulsive functional-differential equations with nonlocal conditions.
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Impulsive semilinear neutral functional differential inclusions with multivalued jumps
Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche (2011)
Applications of Mathematics
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Initial and Boundary Value Problems for Functional Differential Equations via the Topological Transversality Method: A Survey
S.K. Ntouyas (1998)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Initial boundary value problems for second order impulsive functional differential inclusions.
Benchohra, Mouffak, Ouahab, Abdelghani (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Integral manifold of the parabolic differential equation with deviating argument
Lubica Kossaczká (1989)
Commentationes Mathematicae Universitatis Carolinae
Integro-differential equations on time scales with Henstock-Kurzweil delta integrals
Aneta Sikorska-Nowak (2011)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper we prove existence theorems for integro - differential equations , t ∈ Iₐ = [0,a] ∩ T, a ∈ R₊, x(0) = x₀ where T denotes a time scale (nonempty closed subset of real numbers R), Iₐ is a time scale interval. Functions f,k are Carathéodory functions with values in a Banach space E and the integral is taken in the sense of Henstock-Kurzweil delta integral, which generalizes the Henstock-Kurzweil integral. Additionally, functions f and k satisfy some boundary conditions and conditions...
Integrodifferential equations on time scales with Henstock-Kurzweil-Pettis delta integrals.
Sikorska-Nowak, Aneta (2010)
Abstract and Applied Analysis
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