|
||||||||||||
if(isset($title)){?> }?> if(isset($author)){?> }?> |
Paper's Title:
Construction of Lyapunov Functionals In Functional Differential Equations With Applications To Exponential Stability In Volterra Integro-differential Equations
Author(s):
Youssef N. Raffoul
Department of Mathematics, University of Dayton,
Dayton OH 45469-2316,
USA
youssef.raffoul@notes.udayton.edu
URL:http://academic.udayton.edu/YoussefRaffoul
Abstract:
Non-negative definite Lyapunov functionals are employed to obtain
sufficient conditions that guarantee the exponential asymptotic
stability and uniform exponential asymptotic stability of the zero
solution of nonlinear functional differential systems. The theory
is applied to Volterra integro-differential equations in the form
of proposition examples.
Paper's Title:
Positive Solution For Discrete Three-Point Boundary Value
Problems
Author(s):
Wing-Sum Cheung And Jingli Ren
Department of Mathematics,
The University of Hong Kong,
Pokfulam, Hong Kong
wscheung@hku.hk
Institute of Systems Science,
Chinese Academy of Sciences,
Beijing 100080, P.R. China
renjl@mx.amss.ac.cn
Abstract:
This paper is concerned with the existence of positive solution to the discrete three-point boundary value problem
,
where
, and f is allowed to change sign. By constructing
available operators, we shall apply the method of lower solution and the method
of topology degree to obtain positive solution of the above problem for
on a suitable interval.
The associated Green’s function is first given.
Paper's Title:
Positive Periodic Time-Scale Solutions for Functional Dynamic Equations
Author(s):
Douglas R. Anderson and Joan Hoffacker
Department of Mathematics and Computer Science
Concordia College
Moorhead, MN 56562 USA
andersod@cord.edu
URL: http://www.cord.edu/faculty/andersod/
Department of Mathematical Sciences
Clemson University
Clemson, SC 29634 USA
johoff@clemson.edu
URL: http://www.math.clemson.edu/facstaff/johoff.htm
Abstract:
Using Krasnoselskii's fixed point theorem, we establish the existence of positive periodic solutions
to two pairs of related nonautonomous functional delta dynamic equations on periodic time scales, and then extend the discussion to higher-dimensional equations. Two pairs of corresponding nabla equations
are also provided in an analogous manner.
Paper's Title:
Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems
Author(s):
J. Henderson and S. K. Ntouyas
Department of Mathematics, Baylor University
Waco, Texas
76798-7328 USA.
Johnny_Henderson@baylor.edu
URL: http://www3.baylor.edu/~Johnny_Henderson
Department of Mathematics, University of Ioannina
451 10 Ioannina,
Greece.
sntouyas@cc.uoi.gr
URL: http://www.math.uoi.gr/~sntouyas
Abstract:
Values of λ are determined for which there exist
positive solutions of the system of three-point boundary value problems,
u''(t)+ λa(t)f(v(t))=0, v''(t)+λb(t)g(u(t))=0,
for 0 < t <1, and
satisfying, u(0) = 0, u(1)=α u(η),
v(0) = 0, v(1)=α v(η). A Guo-Krasnosel'skii fixed
point theorem is applied. Search and serve lasted 0 second(s).
© 2004-2023 Austral Internet Publishing