Editorial
Advances in Difference Equations 2009 2009:262719
Published on: 28 December 2009
Editorial
Advances in Difference Equations 2009 2009:262719
Published on: 28 December 2009
Research Article
By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existenc...
Advances in Difference Equations 2009 2009:737461
Published on: 13 October 2009
Research Article
We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation
Advances in Difference Equations 2009 2009:562329
Published on: 11 October 2009
Research Article
We consider special basic difference equations which are related to discretizations of Schrödinger equations on time scales with special symmetry properties, namely, so-called basic discrete grids. These grids...
Advances in Difference Equations 2009 2009:569803
Published on: 11 October 2009
Research Article
We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a -...
Advances in Difference Equations 2009 2009:123565
Published on: 19 August 2009
Research Article
We prove the existence results for second-order impulsive differential equations on time scales with antiperiodic boundary value conditions in the presence of classical fixed point theorems.
Advances in Difference Equations 2009 2009:567329
Published on: 3 August 2009
Research Article
By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time scales ...
Advances in Difference Equations 2009 2009:209707
Published on: 29 July 2009
Research Article
We study the existence of weak solutions for second-order boundary value problem of impulsive dynamic equations on time scales by employing critical point theory.
Advances in Difference Equations 2009 2009:907368
Published on: 20 July 2009
Research Article
By constructing an available integral operator and combining Krasnosel'skii-Zabreiko fixed point theorem with properties of Green's function, this paper shows the existence of multiple positive solutions for a...
Advances in Difference Equations 2009 2009:219251
Published on: 19 July 2009
Research Article
Our aim in this paper is to investigate some new integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some integral inequalities and their corr...
Advances in Difference Equations 2009 2009:484185
Published on: 14 July 2009
Research Article
We study the following third-order -Laplacian -point boundar...
Advances in Difference Equations 2009 2009:169321
Published on: 5 July 2009
Research Article
Let T be a periodic time scale with period such that , and
Advances in Difference Equations 2009 2009:603271
Published on: 29 June 2009
Research Article
By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations
Advances in Difference Equations 2009 2009:756171
Published on: 29 June 2009
Research Article
By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales w...
Advances in Difference Equations 2009 2009:830247
Published on: 22 June 2009
Research Article
This paper studies Sturm-Picone comparison theorem of second-order linear equations on time scales. We first establish Picone identity on time scales and obtain our main result by using it. Also, our result un...
Advances in Difference Equations 2009 2009:496135
Published on: 16 June 2009
Research Article
We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized -point boundar...
Advances in Difference Equations 2009 2009:848191
Published on: 14 June 2009
Research Article
This paper is devoted to derive some sufficient conditions for the existence and uniqueness of positive solutions to a singular second-order dynamic equation with Dirichlet boundary conditions.
Advances in Difference Equations 2009 2009:728484
Published on: 11 June 2009
Research Article
We consider the existence of positive solutions for a class of second-order multi-point boundary value problem with -Laplacian on time s...
Advances in Difference Equations 2009 2009:312058
Published on: 9 June 2009
Research Article
Let be a time scale such that . By using a monotone iterati...
Advances in Difference Equations 2009 2009:623932
Published on: 13 April 2009
Research Article
Criteria are established for existence of least one or three positive solutions for boundary value problems of second-order functional dynamic equations on time scales. By this purpose, we use a fixed-point in...
Advances in Difference Equations 2009 2009:829735
Published on: 16 March 2009