Existence and nonexistence results for second-order Neumann boundary value problem
Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0
Abstract
In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <CENTER>u'(0)=u'(1)=0, </CENTER>where M>0, f∈<B>C</B>([0,1]×<B>R</B><SUP>+</SUP>, <B>R</B><SUP>+</SUP>). By making use of fixed point index theory in cones, some new results are obtained.
Authors and Affiliations
Feng Wang, Yujun Cui, Fang Zhang
Computing optimal control with a quasilinear parabolic partial differential equation
This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior...
Common fixed point theorem for hybrid pairs of r-weakly commuting mappings
In this paper we established a common fixed point theorem for four mappings f,g (crisp) and S,T (fuzzy) of R-weakly commuting mapping in a metric space.
Function valued metric spaces
In this paper we introduce the notion of an &#8497;-metric, as a function valued distance mapping, on a set X and we investigate the theory of &#8497;-metrics paces. We show that every metric space may be viewed...
A Functional Calculus for Quotient Bounded Operators
If <I>(X, P)</I> is a sequentially locally convex space, then a quotient bounded operator <I>T</I> beloging to <I>Q<SUB>P</SUB></I> is regular (in the sense of Waelbroeck)...
Fixed point theorems for generalized weakly contractive mappings
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family...