[PDF] Top 20 On a periodic boundary value problem for second-order linear functional differential equations

... It is known from the general theory of boundary value problems for functional di ff eren- tial equations that if is a monotone operator, then problem (1.1), (1.2) has the Fredholm ... See full document

... This paper is concerned with the existence of extremal solutions of periodic boundary value problems for second-order impulsive integro-differential equations with integral jump ... See full document

... singular boundary value problems were built by Kigu- radze in his study ...differential equations and the functional differ- ential equations (see ... See full document

... Fang, “On positive solutions of boundary value problems for second-order functional di ff erential equations on infinite intervals,” Journal of Mathematical Analysis and Applications , vo[r] ... See full document

... P., Integral type asymptotic conditions for the solvability of a periodic fourth order boundary value problem, in Differential Equations, ed.. Aftabizadeh, Ohio University to appear..[r] ... See full document

... for functional boundary value problems of second-order nonlinear differential equations system at resonance with dim Ker L = 3 and 4, ... See full document

... a periodic boundary value problem for third-order linear differential equations,” Differentsial’nye Uravneniya, ...Differential Equations, ...of ... See full document

... In order to introduce the fuzzy two point boundary value problem, we need some basic definitions and notations used in fuzzy calculus. In what follows, we will adopt a suitable modification of ... See full document

... F: Periodic solutions for second order differential ...Differential equations with integral boundary ...of second-order nonlocal boundary value ... See full document

... erential equations, which arise in physics, population dynamics, econom- ics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and ... See full document

... the linear problem will be discussed by the theory of ordinary differential equation, thus the uniqueness of solutions of linear equations is ... See full document

... In this paper, we shall give some sufficient conditions to construct the existence the- orems for FBVP (.), (.) at nonresonance and resonance (both cases of dim Ker L =  and dim Ker L = ), respectively. To the best ... See full document

... ferential equations [–] and other recent works such as the study of some topological properties and structure of the solutions to the Cauchy problem for fuzzy differential sys- tems (see [, ... See full document

... Proof. The proof is by the method of steps. Applying lemma 3.2 in [9], the estimates of derivatives of ~ v on [0, 1−] ×[0, T ] follow. The arguments used to bound ~ v and its derivatives in the interval [1+, 2] × [0,T ] ... See full document

... The paper is organized as follows. In Section , we reformulate the anti-periodic bound- ary value problem (.) and (.) as an equivalent integral equation, which is a widely used technique in the ... See full document

... “First order impulsive integro-differential equations on unbounded domain in a Banach space,” Dynamics of Continuous, Discrete and Impulsive Systems, ...differential equations with anti-periodic ... See full document

... of boundary value problems for func- tional differential equations and their systems is a classical topic in the theory of differen- tial equations (see, ...nonlocal boundary condition is ... See full document

... KEY WORDS AND PHRASES: Integro-Differential Equation, Upper and Lower Solutions, Carath6odory function 1991 AMS SUBJECT CLASSIFICATION CODES: /45J05 INTRODUCTION The purpose of this pape[r] ... See full document

... Remark  ∗ From the proof of Theorem  it follows that estimates (), () are best possi- ble: if non-negative numbers T – , T + satisfy () (or ()), then equality holds in condition () (or ()) for a unique ... See full document

... As we know, the fixed point theorem of cone expression and compression is extensively used to study the existence of multiple solutions of boundary value problems for second- order differential ... See full document