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Mathematical and Computer Modelling
Volume 23, Issue 10, May 1996, Pages 61-69
 
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doi:10.1016/0895-7177(96)00054-4    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1996 Published by Elsevier Science Ltd.

Smoothness of solutions for boundary value problems with impulse effects, II

J. HendersonE-mail The Corresponding Author

H. B. ThompsonE-mail The Corresponding Author

Discrete and Statistical Sciences, Auburn University, Auburn, AL 36849-5307, U.S.A. Department of Mathematics, The University of Queensland Brisbane, Queensland 4072, Australia

Available online 9 February 1999.

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Abstract

Data dependence is considered for solutions of boundary value problems for the system of ordinary differential equations, y′ = ƒ(t, y), t ε (c, d) t1,…,tm, where tk = thetak(y(tk)), 1 ≤km, satisfying My(a) + Ny(b) = v, and under the impulse effects, iy(tk = y(tk+) − y(tk) = rk(tk,y(tk)), 1 ≤ km, and where c< a < thetak−1(x) < thetak(x) < b < d, 2 ≤ km, M and N are n × n matrices, and v ε Rn.

Author Keywords: Boundary value problem; Impulse; Data dependence

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