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[PDF] Top 20 Nonlinear functional integrodifferential equations in Hilbert space

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Nonlinear functional integrodifferential equations in Hilbert space

Nonlinear functional integrodifferential equations in Hilbert space

... [1] M. B. Dhakne and B. G. Pachpatte, On some abstract functional integrodifferential equations, Indian J. Pure Appl. Math. 22 (1991), no. 2, 109–134. MR 92e:47127. Zbl 728.45013. [2] J. M. Jeong, S. ... See full document

8

Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations

Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations

... Unless otherwise mentioned, throughout this paper we let E denote a partially ordered real normed linear space with the order relation and the norm k · k in which addition and scalar multiplication by positive ... See full document

11

Existence of Quasilinear Neutral Impulsive Integrodifferential Equations in Banach Space

Existence of Quasilinear Neutral Impulsive Integrodifferential Equations in Banach Space

... viscoelasticity, nonlinear elasticity have mathematical models and are described by the problems of differential or integral equations or integrodifferential ...of space and time by partial ... See full document

16

Global existence for some neutral functional integrodifferential equations with finite delay

Global existence for some neutral functional integrodifferential equations with finite delay

... In this section, we recall some notions and results that we need in the following. Throughout the paper, E is a Banach space, A : D(A) ⊂ E → E is closed linear operator which generates a c 0 - semigroup (T (t)) ... See full document

14

Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations

Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations

... of nonlinear VFDIE (1.1). The considered nonlinear VFDIE ...of nonlinear Volterra–Fredholm delay integrodifferential equations and their variants have been dealt in [4, 11, ...of ... See full document

15

Existence of solutions for nonlinear fuzzy impulsive integrodifferential equations

Existence of solutions for nonlinear fuzzy impulsive integrodifferential equations

... integral equations and fuzzy delay differential equations with nonlocal conditions ...differential equations with fuzzy sets to form a fuzzy logic systems called a fuzzy dynamical system, which can ... See full document

10

Existence Results on General Integrodifferential Evolution Equations in Banach Space

Existence Results on General Integrodifferential Evolution Equations in Banach Space

... tion equations by using semigroup ...linear integrodifferential equation with deviating argu- ...of nonlinear integrodifferential systems in Banach ...ential equations by using ... See full document

6

Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces

Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces

... with bounded delay. Sukavanam and Kumar [] discussed the approximate control- lability of a fractional-order system in which the nonlinear term depends on both state and control variables. Yan [] studied the ... See full document

31

Second order Volterra-Fredholm functional integrodifferential equations

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 Banach ... See full document

7

Existence and regularity for some partial functional integrodifferential equations with infinite delay

Existence and regularity for some partial functional integrodifferential equations with infinite delay

... Banach space, A is closed linear operator on X . Y represent the Banach space D (A) equipped with the graph norm defined by |y| Y = |y| X + |Ay| X for y ∈ Y ...the space of continuous function from ] ... See full document

20

On the super stability of exponential Hilbert valued functional equations

On the super stability of exponential Hilbert valued functional equations

... of functional equations goes back to a question of Ulam [1] con- cerning the stability of group ...exponential functional equation: If a function f: ℝ ® ℝ is approximately exponential function, ... See full document

8

Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space

Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space

... differential equations (ODEs), delay differential equations (DDEs), integro- differential equations (IDEs) and VFDEs of other type appearing in ... See full document

9

Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces

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

13

Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces

Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces

... [32] A. R. Mitchell and C. Smith, “An existence theorem for weak solutions of differential equations in Banach spaces,” in Nonlinear Equations in Abstract Spaces (Proc. Internat. Sympos., Univ. Texas, ... See full document

14

Regularity for Solutions of Second Order Nonlinear Integrodifferential Functional Equations

Regularity for Solutions of Second Order Nonlinear Integrodifferential Functional Equations

... of nonlinear integrodifferential equations of second- order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal operators ... See full document

13

On a nonlinear functional second order integrodifferential equation in Banach Spaces

On a nonlinear functional second order integrodifferential equation in Banach Spaces

... Equations of these types (1.1)-(1.3) are their special forms commonly come across in almost all phases of physics and applied mathematics, see, for example [1-6] and the references cited therein. Many authors have ... See full document

11

On nonlinear Volterra-Fredholm functional integrodifferential equations with nonlocal condition in Banach spaces

On nonlinear Volterra-Fredholm functional integrodifferential equations with nonlocal condition in Banach spaces

... for functional differential equations with delay, see [3, 6, 7, 8] and the references cited ...the functional integrodifferential equation with nonlocal condition of the ... See full document

15

An abstract partial functional integrodifferential equations

An abstract partial functional integrodifferential equations

... Banach space X , g is in general a nonlinear operator from R + × D (A) to X , f : R + × C → X is a continuous function and the phase space C is a linear space of functions mapping [−r , 0] ... See full document

17

Nonlocal nonlinear integrodifferential equations of fractional orders

Nonlocal nonlinear integrodifferential equations of fractional orders

... In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential ... See full document

10

Exact null controllability of semi-linear stochastic differential systems with nonlocal condition

Exact null controllability of semi-linear stochastic differential systems with nonlocal condition

... cases, deterministic models often fluctuate due to noise, which is random or at least to be so. So, we have to move from deterministic problems to stochastic ones. Park and Balasubramaniam [3] studied the exact null ... See full document

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