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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS |
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| Authors: | Yuan Chengjun Wen Xiangdan Jiang Daqing |
| Institution: | Yuan Chengjun 1,2 Wen Xiangdan 3 Jiang Daqing 11. School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China 2. School of Mathematics and Computer,Harbin University,Harbin 150086,China 3. Department of Mathematics,Yanbian University,Yanji 133002,China |
| Abstract: | By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equations, and provide sufficient conditions for the existence and uniqueness of positive solution to Lidstone boundary value problem for 2mth-order ordinary differential equations and 2mth-order difference equations. The nonlinear term in the differential and difference equation may be singular. |
| Keywords: | Mixed monotone operator fixed point theorem boundary value problems existence uniqueness |
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