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Periodic boundary value problems for the first order impulsive functional differential equations. (English) Zbl 1081.34081

The authors investigate the existence of extreme solutions of periodic boundary value problems for a class of first-order functional-differential equations with impulses at fixed moments of time.

MSC:

34K45 Functional-differential equations with impulses
34K10 Boundary value problems for functional-differential equations
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References:

[1] Lakshmikantham, V.; Bainov, D.D.; Simeonov, P.S., Theory of impulsive differential equations, (1989), World Scientific Singapore · Zbl 0719.34002
[2] He, Z.; Jianshe, Y.U., Periodic boundary value problem for first order impulsive functional differential equations, J. comput. appl. math., 138, 205-217, (2002) · Zbl 1004.34052
[3] He, Z.; Ge, W., Periodic boundary value problem for first order impulsive functional differential equations, Appl. math. comput., 123, (2002)
[4] Ding, W.; Han, M.A., Periodic boundary value problem for second order impulsive functional differential equations, Appl. math. comput., 155, 709-726, (2004) · Zbl 1064.34067
[5] Nieto, J.J.; Rodriguez-Lopez, R., Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions, J. comput. math. appl., 40, 433-442, (2000) · Zbl 0958.34055
[6] Nieto, J.J.; Rodriguez-Lopez, R., Remarks on periodic boundary value problems for functional differential equations, J. comput. appl. math., 158, 339-353, (2003) · Zbl 1036.65058
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