Approximate solutions to nonlinear integral equations

Existence and Approximate Solutions of Nonlinear Integral Equations

We investigate the existence of continuous solutions on compact intervals of some nonlinear integral equations. The existence of such solutions is based on some well-known fixed point theorems in Banach spaces such as Schaefer fixed point theorem, Schauder fixed point theorem, and Leray-Schauder principle. A special interest is devoted to the study of nonlinear Volterra equations and to the num...

Approximate Solutions of Nonlinear Volterra-Fredholm Integral Equations

Abstract: We study the numerical solvability of a class of nonlinear Volterra-Fredholm integral equations. We obtain existence and uniqueness results and analyze the linearization methods for these equations under some verifiable conditions on the kernels and nonlinear functions. Also, linearazation methods for initial value problems which have singular points are introduced. The stability esti...

Exact solutions of nonlinear interval Volterra integral equations

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Nonlinear Integral Equations and Their Solutions

Dr. Barbara Zubik-Kowal Department of Mathematics Bachelor of Science in Applied Mathematics Nonlinear Integral Equations and Their Solutions by Caleb RICHARDS We shall investigate nonlinear integral equations and their properties and solutions. Proofs and examples for the existence of unique solutions to nonlinear integral equations are provided. Some other areas explored are properties of sol...