A. GEORGIEVA, S. KOSTADINOV

Sufficient Conditions for the Lp-Equivalence Between two Nonlinear Impulse Differential Equations

Sufficient conditions for the Lp-equivalence between two nonlinear impulse differential equations with unbounded linear parts and possibly unbounded nonlinearity parts are given. An example of two nonlinear impulse differential parabolic equations is considered.

Anahtar Kelimeler:

Impulse differential equations, Lp-equivalence, Partial impulse differential equations of parabolic type

Sufficient Conditions for the Lp-Equivalence Between two Nonlinear Impulse Differential Equations

Keywords:

Impulse differential equations, Lp-equivalence, Partial impulse differential equations of parabolic type,

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[1] Bainov, D., Kostadinov, S. and Zabreiko, P.: Lp-equivalence of impulsive equations, International Journal of Theoretical Physics, 27, N11, 1411-1424, (1988).
[2] Erbe, L., Freedman, H., Liu, X. and Wu, J.: Comparison principle for impulsive parabolic equations with applications to models of single species growth, J. Austral. Math. Soc. Ser. B 32, 382-400, (1991).
[3] Maurin, K.: Metody Przestrzeni Hilberta, Panstwowe wydawnictwo naukovwe, 570, (1959).
[4] Pazy, A.: Semigroups of Linear Operators, Springer-Verlag, 279, (1983).
[5] Krasnoselski, M., Zabreiko, P., Pustilnic, E. and Sobolevski P.: Integrable Operators in Spaces of Integrable Functions, Moskva , 499, (in Russian), (1966).
6] Bainov, D. and Kostadinov, S.: Abstract Impulsive Differential Equations, Descartes Press Co., Koriyama (1996).