Abstract Differential and Difference Equations

Abstract Differential and Difference Equations

Authors: G. M. N'Guérékata, T. Diagana and A. Pankov

Citation: Advances in Difference Equations 2011 2010:857306

Content type: Editorial Published on: 6 March 2011
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Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation

The initial boundary value problem for a class of hyperbolic equations with strong dissipative term in a bounded domain is studied. The...

Authors: Yaojun Ye

Citation: Advances in Difference Equations 2010 2010:357404

Content type: Research Article Published on: 15 August 2010
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Inequalities among Eigenvalues of Second-Order Symmetric Equations on Time Scales

We consider coupled boundary value problems for second-order symmetric equations on time scales. Existence of eigenvalues of this boundary value problem is proved, numbers of their eigenvalues are calculated, ...

Authors: Chao Zhang and Shurong Sun

Citation: Advances in Difference Equations 2010 2010:317416

Content type: Research Article Published on: 1 June 2010
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On a Max-Type Difference Equation

We prove that every positive solution of the max-type difference equation ,

Authors: Ali Gelisken, Cengiz Cinar and Ibrahim Yalcinkaya

Citation: Advances in Difference Equations 2010 2010:584890

Content type: Research Article Published on: 30 May 2010
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Structure of Eigenvalues of Multi-Point Boundary Value Problems

The structure of eigenvalues of , , and

Authors: Jie Gao, Dongmei Sun and Meirong Zhang

Citation: Advances in Difference Equations 2010 2010:381932

Content type: Research Article Published on: 9 May 2010
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Existence and Uniqueness of Positive Solutions for Discrete Fourth-Order Lidstone Problem with a Parameter

This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequ...

Authors: Yanbin Sang, Zhongli Wei and Wei Dong

Citation: Advances in Difference Equations 2010 2010:971540

Content type: Research Article Published on: 30 March 2010
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Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators

We investigate the following nonlinear equations with -Laplacian-like operators

Authors: Hui-Sheng Ding, Guo-Rong Ye and Wei Long

Citation: Advances in Difference Equations 2010 2010:197263

Content type: Research Article Published on: 30 March 2010
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Almost Automorphic Solutions to Abstract Fractional Differential Equations

A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation

Authors: Hui-Sheng Ding, Jin Liang and Ti-Jun Xiao

Citation: Advances in Difference Equations 2010 2010:508374

Content type: Research Article Published on: 2 March 2010
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Oscillation Criteria for Second-Order Quasilinear Neutral Delay Dynamic Equations on Time Scales

We establish some new oscillation criteria for the second-order quasilinear neutral delay dynamic equations on a time scale ...

Authors: Yibing Sun, Zhenlai Han, Tongxing Li and Guangrong Zhang

Citation: Advances in Difference Equations 2010 2010:512437

Content type: Research Article Published on: 1 March 2010
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Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation

The existence of asymptotically almost periodic mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay is studied.

Authors: José Paulo C. dos Santos, Sandro M. Guzzo and Marcos N. Rabelo

Citation: Advances in Difference Equations 2010 2010:310951

Content type: Research Article Published on: 1 March 2010
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Uniqueness of Periodic Solution for a Class of Liénard -Laplacian Equations

By topological degree theory and some analysis skills, we consider a class of generalized Liénard type -Laplacian equations. Upon some suitable ...

Authors: Fengjuan Cao, Zhenlai Han, Ping Zhao and Shurong Sun

Citation: Advances in Difference Equations 2010 2010:235749

Content type: Research Article Published on: 28 February 2010
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Existence of a Nonautonomous SIR Epidemic Model with Age Structure

A nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We c...

Authors: Junyuan Yang and Xiaoyan Wang

Citation: Advances in Difference Equations 2010 2010:212858

Content type: Research Article Published on: 23 February 2010
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Notes on the Propagators of Evolution Equations

We consider the propagator of an evolution equation, which is a semigroup of linear operators. Questions related to its operator norm function and its behavior at the critical point for norm continuity or compact...

Authors: Yu Lin, Ti-Jun Xiao and Jin Liang

Citation: Advances in Difference Equations 2010 2010:795484

Content type: Research Article Published on: 16 February 2010
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Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces

A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.

Authors: Zhi-Wei Lv, Jin Liang and Ti-Jun Xiao

Citation: Advances in Difference Equations 2010 2010:340349

Content type: Research Article Published on: 14 February 2010
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On the Oscillation of Second-Order Neutral Delay Differential Equations

Some new oscillation criteria for the second-order neutral delay differential equation , ...

Authors: Zhenlai Han, Tongxing Li, Shurong Sun and Weisong Chen

Citation: Advances in Difference Equations 2010 2010:289340

Content type: Research Article Published on: 9 February 2010
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Complete Asymptotic Analysis of a Nonlinear Recurrence Relation with Threshold Control

We consider a three-term nonlinear recurrence relation involving a nonlinear filtering function with a positive threshold . We work out ...

Authors: Qi Ge, Chengmin Hou and SuiSun Cheng

Citation: Advances in Difference Equations 2010 2010:143849

Content type: Research Article Published on: 3 February 2010
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Existence of Positive Periodic Solutions to -Species Nonautonomous Food Chains with Harvesting Terms

By using Mawhin's continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of at least

Authors: Yongkun Li and Kaihong Zhao

Citation: Advances in Difference Equations 2010 2010:262461

Content type: Research Article Published on: 28 January 2010
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A Note on a Semilinear Fractional Differential Equation of Neutral Type with Infinite Delay

We deal in this paper with the mild solution for the semilinear fractional differential equation of neutral type with infinite delay: ,

Authors: Gisle M. Mophou and Gaston M. N'Guérékata

Citation: Advances in Difference Equations 2010 2010:674630

Content type: Research Article Published on: 26 January 2010
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Pairs of Function Spaces and Exponential Dichotomy on the Real Line

We provide a complete diagram of the relation between the admissibility of pairs of Banach function spaces and the exponential dichotomy of evolution families on the real line. We prove that if

Authors: Adina Luminiţa Sasu

Citation: Advances in Difference Equations 2010 2010:347670

Content type: Research Article Published on: 26 January 2010
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Mild Solutions for Fractional Differential Equations with Nonlocal Conditions

This paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions

Authors: Fang Li

Citation: Advances in Difference Equations 2010 2010:287861

Content type: Research Article Published on: 26 January 2010
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Existence of Periodic Solutions for -Laplacian Equations on Time Scales

We systematically explore the periodicity of Liénard type -Laplacian equations on time scales. Sufficient criteria are established for the exist...

Authors: Fengjuan Cao, Zhenlai Han and Shurong Sun

Citation: Advances in Difference Equations 2009 2010:584375

Content type: Research Article Published on: 24 November 2009
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