Supported by the National Natural Science Foundation of China(11261053); Supported by the Natural Science Foundation of Gansu Province of China(1308RJZA125)
In this paper, the second-order three-point boundary value problem u(t) + λa(t)f(t, u(t)) = 0, 0 < t < 1,u(t) = u(1- t), u(0)- u(1) = u(12)is studied, where λ is a positive parameter, under various assumption on a a...
Supported by the Natural Science Foundation of Hainan Province(112006); Supported by the Natural Science Foundation of Department of Education of Hainan Province(Hjkj2013-47); Supported by the National Basic Research Program of China(973Program, 2011CB710600)
In this paper, the properties of solution of periodic boundary value problem for second-order impulsive integro-differential equation are discussed. Using the iterative analysis method, the existence and uniqueness of...
Supported by the Natural Science Foundation of Anhui Province(1408085MA02, 1208085 MA13, 1308085MA01, 1308085QA15); Supported by the Key Foundation of Anhui Education Bureau (KJ2012A019, KJ2013A028); Supported by the National Natural Science Foundation of China(11271371, 11301 004); Supported by the Research Fund for the Doctoral Program of Higher Education(20113401110001); Supported by 211 Project of Anhui University(02303129, 02303303-33030011, 02303902-39020011, KYXL2012004 XJYJXKC04, yfcl00012)
In this article, we investigate the existence of periodic solutions for a class of nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained by using critical point th...
SuppoSed by the NSF of Anhui Provincial Education Depaxtment(KJ2012A265,KJ2012B187)
By using cone theory and the MSnch fixed theorem combined with a monotone iterative technique, we investigate the existence of positive solutions for systems of second- order nonlinear singular differential equations ...
Supported by the NSF of Guangdong Province(S2011010004447,S2012040006865)
Oscillation theorems for a second-order impulsive neutral differential equation are established, which extend the main results developed by Li et alLi et al, Oscillation of second order self-coajugate differential equ...
In this paper we present some new existence results for singular boundary value problems by Arzela-Ascoli theorem. In particular our nonlinearity may be singular in its dependent variable.
Supported by the Scientific Research Fund of Hunan Provincial Education Department(09A082)
: The oscillation for a class of second order nonlinear variable delay dynamic equation on time scales with nonlinear neutral term and damping term was discussed in this article. By using the generalized Riccati tech...
Supported by the NNSF of China(10871116);Supported by the NSFSP of China(ZR2010AM005)
In this paper,we are concerned with the existence of multiple positive solutions to a second-order three-point boundary value problem on the half-line.The results are obtained by the Leggett-Williams fixed point theorem.
Supported by the Scientific Research Fund of Education Department of Hunan Province(07C680)
In this paper, a class of second order nonlinear neutral difference equations with variable delays are studied. The criteria for existence of bounded eventually positive solution is obtained by using Banach contractio...
Supported by Science Foundation for Young Teachers of Northeast Normal University(20080105); Supported by NSFC(10926105;11001041;10971022); Supported by SRFDP(200802001008)
The main desire of this paper is to present several new interval oscillation criteria related to a generalized Riccati technique for certain second-order nonlinear differential equations.Our results extend some known ...