Asymptotic solutions of differential equations with singular impulses
Aviltay N. Akhmet M. Zhamanshin A.
2024SINUS Association
Carpathian Journal of Mathematics
2024#40Issue 3581 - 598 pp.
The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied to obtain the main result. Examples with simulations confirming the theoretical results are given.
Differential equations with singular impulses , the method of boundary functions , the Vasil’eva theorem
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FACULTY OF MECHANICAL-MATHEMATICS, AL-FARABI KAZAKH NATIONAL UNIVERSITY, ALMATY, 050040, Kazakhstan
MIDDLE EAST TECHNICAL UNIVERSITY, DEPARTMENT OF MATHEMATICS, ANKARA, 06800, Turkey
INSTITUTE OF INFORMATION AND COMPUTATIONAL TECHNOLOGIES, ALMATY, 050010, Kazakhstan
FACULTY OF MECHANICAL-MATHEMATICS
MIDDLE EAST TECHNICAL UNIVERSITY
INSTITUTE OF INFORMATION AND COMPUTATIONAL TECHNOLOGIES
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