[PDF] Top 20 On a nonlinear functional second order integrodifferential equation in Banach Spaces
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On a nonlinear functional second order integrodifferential equation in Banach Spaces
... abstract system for establishing the boundedness of solutions of the equation governing the transverse motion of an extensible beam. Our work in the present chapter is motivated by the interesting results obtained ... See full document
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On nonlinear Volterra-Fredholm functional integrodifferential equations with nonlocal condition in Banach spaces
... Definition 2.4. The map Q : W ⊆ Y → Y is said to be a χ Y -contraction if there exists a positive constant k < 1 such that χ Y (Q(S)) ≤ k χ Y (S) for any bounded closed subset S ⊆ W where Y is a Banach space. ... See full document
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Existence results of second order impulsive neutral functional differential inclusions in Banach spaces
... In recent years, the theory of impulsive differential equations or inclusions has become an active area of investigation due to their applications in the fields of mechanics, elec- trical engineering, medicine biology, ... See full document
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Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces
... In this work, we investigate the existence of positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro differential equation in a real ... See full document
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Second order Volterra-Fredholm functional integrodifferential equations
... This paper deals with the study of global existence of solutions to initial value problem for second order nonlinear mixed Volterra-Fredholm functional integrodifferential equations in ... See full document
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Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces
... The aim of this paper is to discuss the existence of weak solutions for a nonlinear two-point boundary value problem of integrodifferential equations of fractional order α ∈ (1, 2]. Our analysis relies on ... See full document
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Controllability Resultsfor Damped Second-OrderImpulsive Neutral Functional Integrodifferential SystemwithInfinite Delayin Banach Spaces
... the Banach spaces, the notation ℒ 𝑍, 𝑌 stands for the Banach space of bounded linear operators form 𝑍 into 𝑌 endowed with the operator from and we abbreviate this notation to ℒ 𝑍 when 𝑍 = 𝑌 ... See full document
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
... a Banach space E and inte- grals are taken in the sense of Henstock-Kurzweil ...the second part f , g , h, x are weakly-weakly sequentially continuous functions and integrals are taken in the sense of ... See full document
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Existence of mild solutions of second order neutral functional differential inclusions with nonlocal conditions in Banach spaces
... the second-order abstract differential equa- tions directly rather than to convert them into first-order ...abstract second-order equations is the theory of strongly continuous cosine ... See full document
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Regularity for Solutions of Second Order Nonlinear Integrodifferential Functional Equations
... the nonlinear mapping f is locally Lipschitz ...on nonlinear term, the existence of weak solution can be shown though the uniqueness is not ...to second-order nonlinear ... See full document
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On the controllability of some partial functional integrodifferential equations with infinite delay in Banach spaces
... Integrodifferential equations appear in many areas of applications such as Electronics, Engi- neering, Physical Sciences, Fluid Dynamics, etc. During the last decades, these integrodiffer- ential systems have ... See full document
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An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces
... fractional order,” Advanced Studies in Contemporary Mathematics, ...for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions,” Boundary Value ... See full document
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Stability of generalized QCA-functional equation in P-Banach spaces
... for all x, y ∈ X. In this case, a quasi-Banach space is called a p–Banach space. By the Aoki-Rolewicz Theorem [14], each quasi-norm is equivalent to some p– norm (see also [2]). Since it is much easier to ... See full document
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Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I)
... Recently, Kang and Chang in 31 discussed the superstability of generalized left derivations and generalized derivations. Indeed, these superstabilities are the so-called “Hyers-Ulam superstabilities.” In the present ... See full document
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Approximate Cauchy functional inequality in quasi Banach spaces
... [6] and Jung in [7]. In 1990, Rassias [8] during the 27th International Symposium on Functional Equations asked the question whether such a theorem can also be proved for p ≥ 1. In 1991, Gajda [9], following the ... See full document
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Intuitionistic fuzzy stability of a quadratic and quartic functional equation
... f (x + y) + f (x − y) = 2f(x) + 2f (y) (1.1) is related to a symmetric bi-additive function [30, 31]. It is natural that this equa- tion is called a quadratic functional equation. In particular, every ... See full document
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Nonlinear approximation of an ACQ-functional equation in nan-spaces
... for all x, y Î X. In fact, if we choose L = |8| 1-r , then we get the desired result. □ Theorem 2.3. Let X be a non-Archimedean normed space and Y a non-Archimedean Banach space. Assume that g : X 2 ® [0, ∞ ) is a ... See full document
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Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces
... Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces.. b Payame Noor University, Rafsanjan, Iran.[r] ... See full document
8
Stability of a Cauchy Jensen Functional Equation in Quasi Banach Spaces
... Cauchy functional equation gxy gxgy respectively, the Jensen functional equation 2gxy/2 ...Cauchy equation, and by Lee and Jun 9 for Jensen ... See full document
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New Oscillation Criteria of Second Order Nonlinear Delay Dynamic Equations on Time Scales
... by (23), which is a contradiction. This completes the proof. Remark 2 In the past, the usual result is that the condition (3) was established, then every solution of the Equation (1) is either oscillatory or ... See full document
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