✦ LIBER ✦

Existence and boundedness of solutions of abstract nonlinear integrodifferential equations of nonconvolution type

✍ Scribed by Charles Rennolet

Book ID: 107800596
Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 694 KB
Volume: 70
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(79)90074-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Existence of solutions of nonlinear abst

Existence of solutions of nonlinear abstract neutral integrodifferential equations

✍ K. Balachandran; G. Shija; J.H. Kim 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 571 KB

In this paper, we establish a set of sufficient conditions for the existence of mild solutions of nonlinear neutral integrodifferential equations in Banach spaces by using the Schaefer fixed-point theorem. An application is provided to illustrate the theory.

Existence of solutions of abstract fract

Existence of solutions of abstract fractional integrodifferential equations of Sobolev type

✍ Balachandran, K.; Kiruthika, S. 📂 Article 📅 2012 🏛 Elsevier Science 🌐 English ⚖ 220 KB

Existence of solutions of abstract nonli

Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations

✍ K. Balachandran; D.G. Park; S.Marshal Anthoni 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 632 KB

Sufficient conditions for existence of mild solutions for abstract second-order neutral functional integrodifferential equations are established by using the theory of strongly continuous cosine families of operators and the Schaefer theorem.

On nonlinear Volterra equations of nonco

On nonlinear Volterra equations of nonconvolution type

✍ Thomas R Kiffe 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 747 KB

Existence of Solutions of Nonlinear Neut

Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces

✍ J.P Dauer; K Balachandran 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 102 KB

In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.

Global Existence of Solutions of Volterr

Global Existence of Solutions of Volterra Integrodifferential Equations of Parabolic Type

✍ G. Gripenberg 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 285 KB

Sufficient conditions for the global existence of a strong solution of the equation \(u_{t}(t, x)=\int_{0}^{i} k(t-s) \sigma\left(u_{x}(s, x)\right)_{x} d s+f(t, x)\) are given. The kernel \(k\) satisfies \(9 \hat{k}(z) \geqslant\) \(\kappa|\exists \hat{k}(z)|\) and \(\sigma\) is increasing with \(\