ANTI-PERIODIC BOUNDARY VALUE PROBLEM FOR FUNCTIONAL DIFFENERTIAL EQUATION
ANTI-PERIODIC BOUNDARY VALUE PROBLEM FOR FUNCTIONAL DIFFENERTIAL EQUATION
摘要
By using upper and lower solutions coupled with monotone iterative technique, we discuss the anti-periodic boundary value problem for first order functional diffenertial equation. A sufficient condition for the existence of the solution is obtained.
By using upper and lower solutions coupled with monotone iterative technique, we discuss the anti-periodic boundary value problem for first order functional diffenertial equation. A sufficient condition for the existence of the solution is obtained.
基金
This work is supported by the NNSF of China (No.10071018).
参考文献9
-
1Yin,Y.Remarks on first order differential equations with anti-periodic and nonlinear boundary value conditions[].Nonlinear Times Digest.1995
-
2Franco, D,Nieto, J.J.First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary value conditions[].Nonlinear Anal.2000
-
3Yin,Y.Monotone iterative technique and quasilinearization for some anti-periodic problem[].Nonlinear World.1996
-
4G.S.Ladde,V.Lakshmikantham,A.S.Vatsala.Monotone Iterative Techniques for Nonlinear Differential Equations[]..1985
-
5Jankowski,T.Ordinary differential equations with anti-periodic and nonlinear boundary value conditions of anti-periodic type[].Comp Math Appl.2004
-
6Franco, D,Nieto, J.J,and O‘Regan, D.Anti-periodic boundary value problem for nonlinear first order ordinary differential equations[].Math Inequal Appl.2003
-
7Chen,Y. Q.On Massera‘s theorem for anti-periodic solution[].Adv Math Sci Appl.1999
-
8Nakao,M.Existence of an anti-periodic solution for the quasilinear wave with viscosity[].J Math Anal Appl.1996
-
9Nieto, J.J,Y. Jiang.Monotone iterative method for functional-differential equations[].Nonlinear Anal.1998