Basic Concepts Of IntegralDifferential Equations

Nafasov Ganisher Abdurashidovich; Eshkuvatov Kozim; Eshmuratov Abdimannab

Authors

Nafasov Ganisher Abdurashidovich Associate Professor of the Department of Mathematics, Doctor of Philosophy (PhD) in Pedagogical Sciences, Gulistan State University, Uzbekistan
Eshkuvatov Kozim Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of Mathematics, Gulistan State University, Uzbekistan
Eshmuratov Abdimannab Candidate of Pedagogical Sciences, Associate Professor of the Department of Mathematics, Gulistan State University, Uzbekistan

Keywords:

integrodifferential equation, integral kernel, analytical solution

Abstract

This article analyzes the essence of integro-differential equations, their role in mathematical modeling, and their significance for describing physical, technical, and biological processes. Integro-differential equations represent a class of complex equations that combine differential and integral operations. The article discusses their main types, solution methods, and the advantages of analytical and numerical approaches. The influence of the integral kernel and boundary conditions on the equation's solution is also theoretically substantiated