Pseudo asymptotically periodic solutions for Volterra integro‐differential equations | Zendy

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Pseudo asymptotically periodic solutions for Volterra integro‐differential equations

Author(s) -

Xia Zhinan

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3108

Subject(s) - mathematics , uniqueness , banach space , volterra integral equation , class (philosophy) , differential equation , mathematical analysis , function (biology) , pure mathematics , integral equation , computer science , artificial intelligence , evolutionary biology , biology

In this paper, we propose a new class of functions called pseudo S ‐asymptotically ω ‐periodic function in the Stepanov sense and explore its properties in Banach spaces including composition results. Furthermore, the existence and uniqueness of the pseudo S ‐asymptotically ω ‐periodic mild solutions to Volterra integro‐differential equations is investigated. Applications to integral equations arising in the study of heat conduction in materials with memory are shown. Copyright © 2014 John Wiley & Sons, Ltd.

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