Second order linear Volterra integrodifferential equations.
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Second order semilinear Volterra integrodifferential equation in Banach space
Jan Bochenek (1992)
Annales Polonici Mathematici
By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.
Semilinear Volterra integrodifferential equations with nonlocal initial conditions.
Aizicovici, Sergiu, McKibben, Mark (1999)
Abstract and Applied Analysis
Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Li, Fang (2011)
Advances in Difference Equations [electronic only]
Solvability of some integral equations in Hilbert spaces.
Ilhan, Onur Alp (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
Afif Ben Amar (2011)
Commentationes Mathematicae Universitatis Carolinae
In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.
Some results for integral inclusions of Volterra type in Banach spaces.
Agarwal, R.P., Benchohra, M., Nieto, J.J., Ouahab, A. (2010)
Advances in Difference Equations [electronic only]
Strong stability and asymptotical almost periodicity of Volterra equations in Banach spaces.
Chen, Jian-Hua, Xiao, Ti-Jun (2011)
Advances in Difference Equations [electronic only]
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