๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotic Behavior of a Class of Abstract Semilinear Integrodifferential Equations and Applications

โœ Scribed by Qin Tiehu


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
120 KB
Volume
233
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis


A class of semilinear hyperbolic Volterra integrodifferential equations in Hilbert spaces is considered. The main results in this paper are the global existence of solutions to the initial problem of the equation for large data and an asymptotic estimation of the solution. An application to a system relating to three-dimensional viscoelastic dynamics is presented.


๐Ÿ“œ SIMILAR VOLUMES


Asymptotic Behavior and Convergence of S
โœ He Mengxing; Luo Ronggui ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

This paper analyses the behavior and convergence of the solutions for a generalized singular transport equation which arises as a model of the blood production system by using the characteristic theory of first order partial differential equations and iterative methods.

On a Class of Semilinear Elliptic System
โœ Geng Di ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 163 KB

In this paper we study a class of semilinear differential equation systems. The boundedness of positive solutions of the systems has been shown under some general assumptions. We give some applications for the systems; in particular, with these results, we prove that any positive solution of some po

Existence and Multiplicity of Solutions
โœ Shui-Qiang Liu; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.