Two point boundary value problems associated with a system of first order nonlinear impulse differential equations

K.N. Murty Department of Applied Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA

G.W. Howell Department of Applied Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA

S. Sivasundaram Department of Mathematics and Physical Sciences, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USA

Abstract

We show assumptions of boundedness and Lipschitz conditions that guarantee the existence of a unique solution to a nonlinear differential boundary value problem. The result utilizes a variation of parameters of formula due to V. Lakshmikantham, et. al. and depends upon a contraction mapping.

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Two point boundary value problems associated with a system of first order nonlinear impulse differential equations

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Two point boundary value problems associated with a system of first order nonlinear impulse differential equations

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