We deal with anti-periodic problems for differential inclusions with nonmonotone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions an...We deal with anti-periodic problems for differential inclusions with nonmonotone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions and the theory of pseudomonotone perturbations of maximal monotone mappings. We then apply our results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems.展开更多
In this paper,we study the anti-periodic solutions for a class of impulsive Cohen-Grossberg neural networks with mixed delays.By using analysis techniques,some sufficient conditions are obtained which guarantee the ex...In this paper,we study the anti-periodic solutions for a class of impulsive Cohen-Grossberg neural networks with mixed delays.By using analysis techniques,some sufficient conditions are obtained which guarantee the existence and global exponential stability of the anti-periodic solutions.The criteria extend and improve some earlier results.Moreover,we give an examples to illustrate our main results.展开更多
In this paper,we discuss the anti-periodic boundary value problem for a class of first order differential equations.By using homotopy method,we obtain the conditions for the existence of anti-periodic solution for the...In this paper,we discuss the anti-periodic boundary value problem for a class of first order differential equations.By using homotopy method,we obtain the conditions for the existence of anti-periodic solution for the equation under consideration.This result can be extended to higher order differential equations.展开更多
In this paper, we study the anti-periodic solutions for 2n-th order differential equations. By using the Schauder＇s fixed point theorem, we present some new results about the existence and uniqueness of anti-periodic...In this paper, we study the anti-periodic solutions for 2n-th order differential equations. By using the Schauder＇s fixed point theorem, we present some new results about the existence and uniqueness of anti-periodic solutions for 2n-th order differential equations.展开更多
In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating ar...In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating arguments.展开更多
J.Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68： 747-767; 2009, 7h 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we ...J.Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68： 747-767; 2009, 7h 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we point out that the methods used there are not suitable for the proof of the existence of anti-periodic solutions for hemivariational inequalities and we shall give a straightforward approach to handle these problems. The main tools in our study are the maximal monotone property of the derivative operator with anti- periodic conditions and the surjectivity result for L-pseudomonotone operators.展开更多
Purpose – The purpose of this paper is to study the existence and exponential stability of anti-periodicsolutions of a class of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays andcontin...Purpose – The purpose of this paper is to study the existence and exponential stability of anti-periodicsolutions of a class of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays andcontinuously distributed delays.Design/methodology/approach – The inequality technique and Lyapunov functional method are applied.Findings – Sufficient conditions are obtained to ensure that all solutions of the networks convergeexponentially to the anti-periodic solution, which are new and complement previously known results.Originality/value – There are few papers that deal with the anti-periodic solutions of delayed SICNNs withthe form negative feedback – aij(t)αij(xij(t)).展开更多
By means of Leray Schauder fixed point theorem, a kind of p-Laplacian functional differential equation with a deviating argument is studied. A new result on the existence of anti-periodic solution is obtained.
The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results on the existence and uniqueness of the solution for anti-periodic boundary value problem ...The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results on the existence and uniqueness of the solution for anti-periodic boundary value problem of delay differential equations.展开更多
By using upper and lower solutions coupled with monotone iterative technique, we discuss the anti-periodic boundary value problem for first order functional diffenertial equation. A sufficient condition for the existe...By using upper and lower solutions coupled with monotone iterative technique, we discuss the anti-periodic boundary value problem for first order functional diffenertial equation. A sufficient condition for the existence of the solution is obtained.展开更多
An Impulsive Multidirectional Associative Memory Neural Network(IMAMNN)with time-varying and leakage delays is proposed.Through the use of a continuation theorem of coincidence degree theory and differential inequalit...An Impulsive Multidirectional Associative Memory Neural Network(IMAMNN)with time-varying and leakage delays is proposed.Through the use of a continuation theorem of coincidence degree theory and differential inequality techniques we establish new conditions for the existence and exponential stability of anti-periodic solutions for the model considered in this work.Moreover,two examples and its numerical simulations are presented to show the validity and the effectiveness of the results.展开更多
文摘We deal with anti-periodic problems for differential inclusions with nonmonotone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions and the theory of pseudomonotone perturbations of maximal monotone mappings. We then apply our results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems.
基金supported by National Nature Science Foundation under Grant 11161029,Chinascience and technology research projects of guangxi under Grant 2013YB282,201203YB186
文摘In this paper,we study the anti-periodic solutions for a class of impulsive Cohen-Grossberg neural networks with mixed delays.By using analysis techniques,some sufficient conditions are obtained which guarantee the existence and global exponential stability of the anti-periodic solutions.The criteria extend and improve some earlier results.Moreover,we give an examples to illustrate our main results.
文摘In this paper,we discuss the anti-periodic boundary value problem for a class of first order differential equations.By using homotopy method,we obtain the conditions for the existence of anti-periodic solution for the equation under consideration.This result can be extended to higher order differential equations.
文摘In this paper, we study the anti-periodic solutions for 2n-th order differential equations. By using the Schauder＇s fixed point theorem, we present some new results about the existence and uniqueness of anti-periodic solutions for 2n-th order differential equations.
基金supported by the National Natural Science Foundation of China (10771001)the NSF of Educational Bureau of Anhui Province (KJ2009A005Z+2 种基金KJ2010B124)the NSF of Anhui Province (090416237)the Characteristic Speciality of Mathematics Education in Anhui Province and the Young Talents Support of Anhui Province (2010SQRL159)
文摘In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating arguments.
基金Acknowledgements The author would like to express his gratitude to the referees for their very valuable comments. This work was supported by the National Natural Science Foundation of China （Grant No. 11501284） and the Scientific Research Fund of Hunan Provincial Education Department （Grant No. 16B224）.
文摘J.Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68： 747-767; 2009, 7h 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we point out that the methods used there are not suitable for the proof of the existence of anti-periodic solutions for hemivariational inequalities and we shall give a straightforward approach to handle these problems. The main tools in our study are the maximal monotone property of the derivative operator with anti- periodic conditions and the surjectivity result for L-pseudomonotone operators.
基金This work is supported by National Natural Science Foundation of China(No.61673008 and No.11261010)Project of High-level Innovative Talents of Guizhou Province((2016)5651)Major Research Project of The Innovation Group of The Education Department of Guizhou Province((2017)039).
文摘Purpose – The purpose of this paper is to study the existence and exponential stability of anti-periodicsolutions of a class of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays andcontinuously distributed delays.Design/methodology/approach – The inequality technique and Lyapunov functional method are applied.Findings – Sufficient conditions are obtained to ensure that all solutions of the networks convergeexponentially to the anti-periodic solution, which are new and complement previously known results.Originality/value – There are few papers that deal with the anti-periodic solutions of delayed SICNNs withthe form negative feedback – aij(t)αij(xij(t)).
基金supported by Ministry of Education of Science and Technology of Important Projects (No.207047)Foundation of Anhui Educational Committee (KJ2010B353)Young Teacher’s Foundation of Anhui Normal University (2008xqn46)
文摘By means of Leray Schauder fixed point theorem, a kind of p-Laplacian functional differential equation with a deviating argument is studied. A new result on the existence of anti-periodic solution is obtained.
文摘The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results on the existence and uniqueness of the solution for anti-periodic boundary value problem of delay differential equations.
基金This work is supported by the NNSF of China (No.10071018).
文摘By using upper and lower solutions coupled with monotone iterative technique, we discuss the anti-periodic boundary value problem for first order functional diffenertial equation. A sufficient condition for the existence of the solution is obtained.
文摘An Impulsive Multidirectional Associative Memory Neural Network(IMAMNN)with time-varying and leakage delays is proposed.Through the use of a continuation theorem of coincidence degree theory and differential inequality techniques we establish new conditions for the existence and exponential stability of anti-periodic solutions for the model considered in this work.Moreover,two examples and its numerical simulations are presented to show the validity and the effectiveness of the results.
