Multi Point Boundary Value Problems for Second Order Differential Inclusions
M. Benchora, S. K. Ntouyas (2001)
Matematički Vesnik
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M. Benchora, S. K. Ntouyas (2001)
Matematički Vesnik
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M. Greguš (1974)
Annales Polonici Mathematici
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Giuseppe Conti, Rita Iannacci (1987)
Annales Polonici Mathematici
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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P. Ch. Tsamatos (2004)
Annales Polonici Mathematici
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We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.
K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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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...
Nikolskij, S.
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Jenkinson, Oliver (2000)
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bapur Chandra Dhage (2004)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This paper presents sufficient conditions for the existence of solutions to boundary-value problems of second order multi-valued differential inclusions. The existence of extremal solutions is also obtained under certain monotonicity conditions.
Jan Popiołek (1997)
Annales Polonici Mathematici
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We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].