Controllability of Non-Densely Defined Abstract Mixed Volterra–fredholm Neutral Functional Integrodifferential Equations

Kucche, Kishor D.; Dhakne, M. B.

doi:10.1142/s1793557113500253

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2014

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“…The authors [17][18][19][20] have studied existence, uniqueness, continuous dependence, and other properties of the solution of special forms of (1) with finite delay.…”

Section: Introductionmentioning

confidence: 99%

Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay

Kucche

Dhakne

2014

International Journal of Differential Equations

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In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality established by B. G. Pachpatte. The variants for obtained results are given. An example is considered to illustrate the obtained results.

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“…The authors [17][18][19][20] have studied existence, uniqueness, continuous dependence, and other properties of the solution of special forms of (1) with finite delay.…”

Section: Introductionmentioning

confidence: 99%