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Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 8، شماره 1، مهر 2017، صفحه 95-112 اصل مقاله (385.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.997.1194 | ||
| نویسنده | ||
| Bapurao Dhage* | ||
| Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India | ||
| تاریخ دریافت: 22 آبان 1394، تاریخ بازنگری: 12 بهمن 1395، تاریخ پذیرش: 29 اسفند 1395 | ||
| چکیده | ||
| In this paper, author proves the algorithms for the existence as well as the approximation of solutions to a couple of periodic boundary value problems of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric space. The main results rely on the Dhage iteration method embodied in the recent hybrid fixed point theorems of Dhage in a partially ordered normed linear space. The approximation of the solutions are obtained under weaker mixed partial continuity and partial Lipschitz conditions. Our hypotheses and abstract results are also illustrated by some numerical examples. | ||
| کلیدواژهها | ||
| Hybrid differential equation؛ Hybrid fixed point theorem؛ Dhage iteration method؛ Existence and approximation theorems | ||
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