A. Kh. Khachatryan and Kh. A. Khachatryan

On an Integral Equation with Monotonic Nonlinearity

abstract:
We prove the existence of a nonnegative and bounded solution of a type of homogeneous integral equations with monotonic nonlinearity. Under certain assumptions on the kernel, the properties of the obtained solutions are investigated. Some particular examples which arise in applications are demonstrated.

Mathematics Subject Classification: 35xx, 35G55, 35G50

Key words and phrases: Nonlinearity, Wiener-Hopf equation, existence of solution, iteration, factorization, eigenvalue, P-adic string theory