TRAVELING WAVES CONNECTING EQUILIBRIUM AND PERIODIC ORBIT FOR DELAYED LATTICE DIFFERENTIAL EQUATION |
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| Institution: | Zongyi Wang(Dept.of Math.,Huizhou University,Huizhou 516007,Guangdong) |
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| Abstract: | A class of lattice with time delay and nonlocal response is considered.By transforming the lattice delay differential system into an integral equations in a Banach space,we reduces a singular perturbation problem to a regular perturbation problem.Traveling wave solution therefore is obtained by applying Liapunov-Schmidt method and the implicit function theorem. |
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| Keywords: | delayed lattice differential equation heteroclinic solution traveling wave solution Liapunov-Schmidt method |
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