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Boucherif, Abdelkader; Bouguima, Sidi Mohamed; Al-Malki, Nawal; Benbouziane, Zehour

Third order differential equations with integral boundary conditions. (English) Zbl 1238.34031

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1736-e1743 (2009).
Summary: We study nonlinear third order differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions appearing in the boundary conditions that guarantee the existence of at least one solution to our problem. Our technique is based on a priori bounds and fixed point theorems.

Cited in 13 Documents

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations

Keywords:

third order differential equations; integral boundary conditions; a priori bound on solutions; fixed point theorems
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\textit{A. Boucherif} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1736--e1743 (2009; Zbl 1238.34031)
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References:

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