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517.956.3+517.968.4 (1) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243) |
SM ISO690:2012 HADDOUCHI, Faouzi. A note on existence results for a nonlinear fourth-order integral boundary value problem. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 3(91), pp. 3-9. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(91) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.956.3+517.968.4 | ||||||
MSC 2010: 34B15, 34B18, 34C25. | ||||||
Pag. 3-9 | ||||||
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Rezumat | ||||||
In this short note, we present some new existence results for a nonlinear fourth-order two-point boundary value problem with integral condition. The existence results are obtained by using the Leray-Schauder fixed point theorem. Our work improves the main results of Benaicha and Haddouchi [3]. In addition, examples are included to show the validity of our results. |
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Cuvinte-cheie positive solutions, Leray-Schauder fixed point theorem, fourth-order integral boundary value problems, existence, cone |
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