Homoclinic Orbits of Nonlinear Functional Difference Equations
Copyright policy )Homoclinic Orbits of Nonlinear Functional Difference Equations
The author employs the critical point theory to obtain the existence of a nontrivial homoclinic orbit which decays exponentially at infinity for nonlinear difference equations containing both advance and retardation without any periodic assumptions. Moreover, if the nonlinearity is an odd function, the existence of an unbounded sequence of nontrivial homoclinic orbits which decay exponentially at infinity is also presented.
- Hunan Women'S University China (People's Republic of)
homoclinic orbits, critical point theory, Chaotic behavior of solutions of difference equations, Growth, boundedness, comparison of solutions to difference equations, Homoclinic and heteroclinic orbits for dynamical systems, variational structure, Discrete version of topics in analysis, nonlinear functional difference equations
homoclinic orbits, critical point theory, Chaotic behavior of solutions of difference equations, Growth, boundedness, comparison of solutions to difference equations, Homoclinic and heteroclinic orbits for dynamical systems, variational structure, Discrete version of topics in analysis, nonlinear functional difference equations
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