Lyapunov Functionals in Integral Equations

Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it therefore further explored this paper. In manuscript, we utilize functionals combined with Laplace transform to qualitatively analyze solutions of equation addition, extend our method nonlinear equations infinite delay, several kernels. We mention that has been used solve convolution types but never applied directly are type. allows us find upper estimates, necessary conditions easy verify.