Displaying similar documents to “On boundary value problems of second order differential inclusions”

Systems of differential inclusions in the absence of maximum principles and growth conditions

Christopher C. Tisdell (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to...

The method of upper and lower solutions for perturbed nth order differential inclusions

Bupurao C. Dhage, Adrian Petruşel (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, an existence theorem for nth order perturbed differential inclusion is proved under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions on the multi-functions involved in the inclusion. Our results extend the existence results of Dhage et al. [7,8] and Agarwal et al. [1].

Boundary value problems for first order multivalued differential systems

Abdelkader Boucherif, N.Chiboub-Fellah Merabet (2005)

Archivum Mathematicum

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We present some existence results for boundary value problems for first order multivalued differential systems. Our approach is based on topological transversality arguments, fixed point theorems and differential inequalities.