CMMSE: On the Problem With Impulse Effects for Nonlinear ODEs
Agila T.B. Aidana O.S.
2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025
The article considers a boundary value problem for a system of nonlinear ordinary differential equations that includes impulse effects. Such a model plays an important role in describing processes in which abrupt changes occur at certain points in time. The study obtained sufficient conditions for the existence of isolated solutions to the specified boundary value problem, which ensures an adequate reflection of the behavior of impulse systems within the framework of the mathematical model. To find solutions, algorithms were proposed based on the parameterization method, which allows one to effectively take into account the discontinuities caused by impulses. A numerical implementation of these algorithms was also performed, which confirmed their applicability and efficiency in solving such problems. The obtained results can be useful in various applied areas, such as mechanics, electrical engineering and biology, where systems are often subject to sudden changes under the influence of external factors. In general, the work carried out contributes to the development of the theory and methods for solving nonlinear boundary value problems with impulse effects, opening up opportunities for further research and engineering applications.
boundary value problems with impulsive action , convergence , isolated solution , parameterization method algorithms , sufficient solvability conditions
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L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
L.N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026