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they applied the criteria to show the existence of periodic and almost periodic solutions for some partial functional differential equations with infinite delay and some
Nieto, Generalized quasilinearization method for a second order differ- ential equation with Dirichlet boundary conditions, Proc.. Lakshmikantham and A.S.Vatsala,
We consider a system consisting of a quasilinear parabolic equation and a first order ordinary differential equation containing functional de- pendence on the unknown functions..
Abstract: In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space X. With the help of the analytic semigroups theory and
Raffoul, Existence of periodic and positive peri- odic solutions in totally nonlinear delay differential equations (preprint).
Li, Positive periodic solutions of nonlinear second order ordinary differential equations, Acta Math.. Ge, Periodic solutions of the second order differential equation with
Gao: Existence of nontrivial nonnegative periodic so- lutions for a class of doubly degenerate parabolic equation with nonlocal terms. Yamada: Periodic solutions of certain
By means of piecewise continuous auxiliary functions which are analogues of the classical Lyapunov’s functions, sufficient con- ditions are obtained for the existence of