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THE PROBLEM OF STABILITY ACCORDING TO INITIAL DATA ON THE PART OF VARIABLE SOLUTIONS OF LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH AFTEREFFECT

Annotation

Problems of moment solutions’ stability on the part of variables regarding initial data for linear impulsive differential equations with the consequence are considered here. The research is conducted by the method of auxiliary or model equations. Sufficient stability conditions in terms of parameters of the researched systems are received.

Keywords

solutions’ stability on the part of variables; linear impulsive differential equations with aftereffect; method of the auxiliary or model equations

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UDC

517.929.4+519.21

Pages

1190-1194

References

1. Kadiev R.I. Ustoychivost' resheniy nelineynykh funktsional'no-differentsial'nykh uravneniy s impul'snymi vozdeystviyami po lineynomu priblizheniyu // Differents. uravneniya. 2013. T. 49. № 8. S. 963-970. 2. Kadiev R., Ponosov A. Stability of impulsive stochastic differential linear functional equations with linear delays // J. of Abstract Differential Equations and Applications. 2012. V. 2. № 2. P. 7-25. 3. Kadiev R.I., Ponosov A.V. Ustoychivost' resheniy lineynykh impul'snykh sistem differentsial'nykh uravneniy Ito s ogranichennymi zapazdyvaniyami // Differents. uravneniya. 2010. T. 46. № 4. C. 486-498. 4. Kadiev R.I., Ponosov A.V. Ustoychivost' resheniy lineynykh impul'snykh sistem differentsial'nykh uravneniy Ito s posledeystviem // Differents. uravneniya. 2007. T. 43. № 7. S. 879-885. 5. Kadiev R.I. Dostatochnye usloviya ustoychivosti po chasti peremennykh lineynykh stokhasticheskikh sistem s posledeystviem // Izv. vuzov. Matematika. 2000. № 6. S. 75-79. 6. Kadiev R.I. Dopustimost' par prostranstv po chasti peremennykh dlya lineynykh stokhasticheskikh funktsional'no-differentsial'nykh uravneniy // Izv. vuzov. Matematika. 1994. № 4. S. 1-10.

Received

2015-06-01

Section of issue

Scientific articles

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