On cone perturbing Liapunov function for impulsive differential systems

Applied Mathematics and Computation

Volumn 163, Issue 3, 2005, Pages 1069-1079

  Soliman, A A ^a,b  

^a BENHA UNIVERSITY   (Egypt)

^b Al Jouf Teachers College   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

FUNCTIONAL DIFFERENTIAL SYSTEMS; IMPULSIVE SYSTEMS; LIAPUNOV FUNCTION; MATHEMATICAL THEORY;

SYSTEM STABILITY;

EID: 14544298222     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.075     Document Type: Article

References (8)

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3. D.D. Bainov, and P.S. Simeonov Systems with Impulse Effect, Stability Theory and Applications 1989 Ellis Horwood Chichester, UK
4. G.K. Kulev, and D.D. Bainov On the asymptotic stability of systems with impulses by the direct method of Liapunov J. Math. Anal. Appl. 140 1989 324 340
5. V. Lakshmikantham, and S. Leela On perturbing Liapunov functions Math. Syst. Theory 10 1976 85 90
6. V. Lakshmikantham, and S. Leela Cone-valued Liapunov functions Nonlinear Anal. Theory, Methods Appl. 1 3 1977 215 222
7. V. Lakshmikantham, D.D. Bainov, and P.S. Simeonov Theory of Impulsive Differential Equations 1989 World Scientific Singapore
8. A.M. Somoilenko, and N.A. Perslyuk Differential Equations with Impulse Effect 1987 Visca Skala Kiev