A Boundary Value Problem for a System of Ordinary Differential Equations with Impulse Effects

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A Boundary Value Problem for a System of Ordinary Differential Equations with Impulse Effects

Paul W. Eloe and Johnny Henderson

Source: Rocky Mountain J. Math. Volume 27, Number 3 (1997), 785-799.

First Page: Show

Primary Subjects: 34B15

Secondary Subjects: 34A45

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181071893
Digital Object Identifier: doi:10.1216/rmjm/1181071893
Mathematical Reviews number (MathSciNet): MR1490275
Zentralblatt MATH identifier: 0902.34014

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References

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Mathematical Reviews (MathSciNet): MR729235

Digital Object Identifier: doi:10.1016/0377-0427(83)90003-1

D.D. Bainov, V. Lakshmikantham and P.S. Simeonov, Theory of impulsive differential equations, World Scientific, Singapore, 1989.

Mathematical Reviews (MathSciNet): MR1082551

D.D. Bainov and P.S. Simeonov, Impulsive differential equations: Periodic solutions and applications, Longman Scientific and Technical, Essex, England, 1993.

--------, Systems with impulse effect, Ellis Horwood Limited, Chichister, England, 1989.

L. Collatz, Functional analysis and numerical mathematics, Academic Press, New York, 1966.

Mathematical Reviews (MathSciNet): MR205126

P.W. Eloe and L.J. Grimm, Differential systems and multipoint boundary value problems, ZAMM 62 (1982), 630-632.

Mathematical Reviews (MathSciNet): MR694064

K.N. Murty, G.W. Howell and S. Sivasundaram, Two point boundary value problems associated with a system of first order nonlinear impulse differential equations, Appl. Anal. 51 (1993), 303-313.

Mathematical Reviews (MathSciNet): MR1279008

Digital Object Identifier: doi:10.1080/00036819308840219

Zentralblatt MATH: 0802.34024

J. Werner, Einschließ ungssatze bei nichtlinearen gewöhnlichen Randwertaufgaben und erzwungenen Schwingungen, Numer. Math. 13 (1969), 24-38.

Mathematical Reviews (MathSciNet): MR247184

Digital Object Identifier: doi:10.1007/BF02165271

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Rocky Mountain Journal of Mathematics