Some Topological Properties of Solution Sets in a Second Order Differential Inclusion with m-point Boundary Conditions |
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| Authors: | Charles Castaing Le Xuan Truong |
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| Institution: | 1. D??partement de Math??matiques, Universit?? Montpellier II, Place E. Bataillon, 34095, Montpellier cedex, France
2. Departement of Mathematics and Statistics, University of Economics of Ho Chi Minh City, 59C Nguyen Dinh Chieu Str. Dist. 3, Ho Chi Minh City, Vietnam
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| Abstract: | We consider a class of m-point (m > 3) second order boundary value problem (PF\cal{P}_{F}) in a separable Banach space E of the form
W 2, 1E(0, 1])W ^{2, 1}_E(0, 1])-solutions of (PF\cal{P}_{F}) is compact and is a retract in C1E(0, 1])C^1_E(0, 1]). A new existence result of W 2, 1E(0, 1])W ^{2, 1}_E(0, 1])-solutions and a related relaxation problem are also provided, here F is no longer bounded. |
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