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Nonlinear boundary value problems for first order impulsive functional differential equations. (English) Zbl 1125.65074

The authors study nonlinear boundary value problems for first order impulsive functional differential equations. First they introduce a new concept of lower and upper solutions, then they establish a new comparison principle and discuss the existence and uniqueness of the solution for impulsive functional differential equations. By using the method of upper and lower solutions and a monotone iterative technique they obtain the existence of extreme solutions for the periodic boundary value problem considered.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34K10 Boundary value problems for functional-differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
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References:

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