The existence and uniqueness of a continuous solution of integral algebraic equations with variable limits of integration

Title	The existence and uniqueness of a continuous solution of integral algebraic equations with variable limits of integration
Authors	M. V. Bulatov¹, M. N. Botoroeva¹ ¹Motrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
Annotation	The report presents conditions for the existence of a unique continuous solution of integro-algebraic equations with variable limits of integration. The problem posed is a system of algebraic and Volterra integral equations of the first and the second kind, both integration limits in which are variables. Integral model of developing systems can be writen In this form. This representation makes it possible to use the apparatus of matrix beams for its study.
Keywords	Volterra integral equations, variable limits of integration, integral model, developing systems, matrix beam.
Citation	Bulatov M. V., Botoroeva M. N. ''The existence and uniqueness of a continuous solution of integral algebraic equations with variable limits of integration'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 49-54. Available at: https://conf.svmo.ru/files/2022/papers/paper08.pdf. - Date of access: 06.10.2024.