Homoclinic solutions for a class of neutral Duffing differential systems

Existence of Homoclinic Solutions for a Class of Second-Order Differential Equations with Multiple Lags

This paper is concerned with the existence of homoclinic orbits for secondorder differential equations with multiple lags. By using Mawhin’s continuation theorem, a nontrivial homoclinic orbit is obtained as a limit of a certain sequence of periodic solutions of the equation. AMS Subject Classifications: 34K15, 34C25.

Homoclinic Solutions for a Class of Nonlinear Second-order Differential Equations with Time-varying Delays

In this paper, by using Mawhin’s continuation theorem of coincidence degree theory, we obtain some sufficient conditions for the existence of homoclinic solutions for a class of nonlinear second-order differential equations with timevarying delays. Moreover, we give an example to illustrate the feasibility of obtained results. Our results are completely new.

Existence of bounded solutions of a class of neutral systems of functional differential equations

System of functional differential equations Iterated deviations Lipschitz derivative a b s t r a c t Some results on the existence of bounded solutions together with their first derivatives of a class of neutral systems of functional differential equations with complicated deviations, which extend and unify numerous results in the literature, are proved.

Homoclinic Solutions for a Class of Nonlinear Difference Equations

Numerical Solutions of Special Class of Systems of Non-Linear Volterra Integro-Differential Equations by a Simple High Accuracy Method