Carathéodory's method for a class of second order differential equations on the half-line |
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| Authors: | Shuguan Ji Zhenxin Liu Shaoyun Shi |
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| Institution: | a Institute of Mathematics, Jilin University, Changchun 130012, PR China
b College of Mathematics, Jilin University, Changchun 130012, PR China |
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| Abstract: | The method of equivalent variational methods, originally due to Carathéodory for free problems in the calculus of variations is extended to investigate boundary value problems for a class of second order differential equations on the half-line. Some applications are presented to illustrate the potential of this method. |
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| Keywords: | Carathé odory's method Boundary value problems Calculus of variations Half-line |
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