On the stability of first order impulsive evolution equations

• Autorzy: Wang J. , Feckan M. , Zhou Y.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.3.639

• Języki publikacji: EN

Abstrakty

EN

In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised. Ulam-Hyers-Rassias stability results on a compact interval and an unbounded interval are presented by using an impulsive integral inequality of the Gronwall type. Two examples are also provided to illustrate our results. Finally, some extensions of the Ulam-Hyers-Rassias stability for the case with infinite impulses are given.

Słowa kluczowe

EN

first order; impulsive evolution equations; Ulam-Hyers-Rassias stability

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 3
• Strony: 639--657
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Wang J.

• Guizhou University Department of Mathematics Guiyang, Guizhou 550025, P.R. China
• Guizhou Normal College, Guiyang School of Mathematics and Computer Science Guizhou 550018, P.R. China

autor

Feckan M.

• Comenius University Faculty of Mathematics, Physics and Informatics Department of Mathematical Analysis and Numerical Mathematics Bratislava, Slovakia
• Slovak Academy of Sciences Mathematical Institute Štefánikova 49, 814 73 Bratislava, Slovakia

autor

Zhou Y.

• Xiangtan University Department of Mathematics Xiangtan, Hunan 411105, P.R. China

Bibliografia

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