Initial-boundary value problems for impulsive parabolic functional differential equations

• Autorzy: D. D. Bainov , Zdzisław Kamont , E. Minchev
• Języki publikacji: EN

Abstrakty

EN

Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.

Słowa kluczowe

EN

initial-boundary value problems; impulsive parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1996-1997
• Tom: 24
• Numer: 1
• Strony: 1-15

Daty

wydano

1996

otrzymano

1994-11-24

Twórcy

autor

D. D. Bainov

• Higher Medical Institute, P.O. Box 45, Sofia 1504, Bulgaria

autor

Zdzisław Kamont

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

E. Minchev

• Higher Medical Institute, P.O. Box 45, Sofia 1504, Bulgaria

Bibliografia

• [1] D. Bainov, Z. Kamont and E. Minchev, On first order impulsive partial differential inequalities, Appl. Math. Comp. 61 (1994), 207-230.
• [2] D. Bainov, Z. Kamont and E. Minchev, On impulsive parabolic differential inequalities, to appear.
• [3] D. Bainov, V. Lakshmikantham and P. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
• [4] D. Bainov and P. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications, Ellis Horwood, Chichester, 1989.
• [5] L. Byszewski, Impulsive degenerate nonlinear parabolic functional-differential inequalities, J. Math. Anal. Appl. 164 (1992), 549-559.
• [6] L. Byszewski, System of impulsive nonlinear parabolic functional-differential inequalities, Comment. Math., to appear.
• [7] C. Y. Chan and L. Ke, Remarks on impulsive quenching problems, in: First International Conference on Dynamic Systems and Applications, 1993, Atlanta, USA, to appear.
• [8] L. Erbe, H. Freedman, X. Liu and J. Wu, Comparison principles for impulsive parabolic equations with applications to models of single species growth, J. Austral. Math. Soc. Ser. B 32 (1991), 382-400.
• [9] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Vols. 1 and 2, Academic Press, New York, 1969.
• [10] V. Mil'man and A. Myshkis, On the stability of motion in the presence of impulses, Sibirsk. Mat. Zh. 1 (2) (1960), 233-237 (in Russian).
• [11] J. Szarski, Differential Inequalities, Polish Scientific Publishers, Warszawa, 1965.