Geodesic
Stability in terms of two measures for a~class of semilinear impulsive parabolic equations
Sbornik. Mathematics, Tome 204 (2013) no. 4, pp. 485-507

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The problem of stability in terms of two measures is considered for semilinear impulsive parabolic equations. A new version of the comparison method is proposed, and sufficient conditions for stability in terms of two measures are obtained on this basis. An example of a hybrid impulsive system formed by a system of ordinary differential equations coupled with a partial differential equation of parabolic type is given. The efficiency of the described approaches is demonstrated. Bibliography: 24 titles.
Keywords: stability in a cone, impulsive effect, semilinear parabolic equation, semiordering, comparison principle. 
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     author = {A. I. Dvirnyj and V. I. Slyn'ko},
     title = {Stability in terms of two measures for a~class of semilinear impulsive parabolic equations},
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A. I. Dvirnyj; V. I. Slyn'ko. Stability in terms of two measures for a~class of semilinear impulsive parabolic equations. Sbornik. Mathematics, Tome 204 (2013) no. 4, pp. 485-507. http://geodesic.mathdoc.fr/item/SM_2013_204_4_a1/