Multiple solutions for nonlinear operator equations under the condition of two pairs of paralleled lower and upper solutions

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 ...

The method of lower and upper solutions for fourth order equations with the Navier condition

Hermitian solutions to the system of operator equations T_iX=U_i.

In this article we consider the system of operator equations T_iX=U_i for i=1,2,...,n and give necessary and suffcient conditions for the existence of common Hermitian solutions to this system of operator equations for arbitrary operators without the closedness condition. Also we study the Moore-penrose inverse of a ncross 1 block operator matrix and. then gi...

Upper and Lower Bounds of Solutions for Fractional Integral Equations

In this paper we consider the integral equation of fractional order in sense of Riemann-Liouville operator u(t) = a(t)I[b(t)u(t)] + f(t) with m ≥ 1, t ∈ [0, T ], T < ∞ and 0 < α < 1. We discuss the existence, uniqueness, maximal, minimal and the upper and lower bounds of the solutions. Also we illustrate our results with examples. Full text

Differential Equations and the Method of Upper and Lower Solutions

The purpose of this paper is to give an exposition of the method of upper and lower solutions and its usefulness to the study of periodic solutions to differential equations. Some fundamental topics from analysis, such as continuity, differentiation, integration, and uniform convergence, are assumed to be known by the reader. Concepts behind differential equations, initial value problems, and b...