Impulsive dynamic equations on a time scale.
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Kaufmann, Eric R., Kosmatov, Nickolai, Raffoul, Youssef N. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Kaufmann, Eric R. (2009)
Advances in Difference Equations [electronic only]
Zhang, Chao, Sun, Shurong (2010)
Advances in Difference Equations [electronic only]
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...
Sikorska-Nowak, Aneta (2010)
Abstract and Applied Analysis
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