Successively iterative method of nonlinear Neumann boundary value problems |
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| Authors: | Qingliu Yao |
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| Institution: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, PR China |
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| Abstract: | Two successively iterative sequences are constructed for computing solutions of the nonlinear Neumann boundary value problems with time singularity. The sequences start off with some constants. Main tool is the fixed point theorem of increasing operator on the order interval. By considering convergence of the sequences, we prove the existence of nontrivial sign-changing solutions. |
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| Keywords: | Successive iteration Order interval Nonlinear ordinary differential equation Neumann boundary value problem |
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