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| Existence of single and multiple solutions for first order discrete periodic boundary value problems |
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XU Xiaojie, FEI Xiangli
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(College of Mathematics and Computational Science in China University of Petroleum, Dongying 257061, China)
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| Abstract: |
| The existence principle of single and multiple positive solutions for the first order discrete periodic boundary value problems was studied by employing a fixed point theorem in cones. Based on this principle, the existence of single and multiple positive solutions for the problems was given. Some new results about nonlinear difference equations on a finite discrete segment with periodic boundary conditions were demonstrated. |
| Key words: periodic boundary value problem discrete equation positive solution fixed point theorem in cones |
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