[PDF] Top 20 Deviating arguments, impulsive effects, and positive solutions for second order singular p Laplacian equations

... Second order differential equations with p-Laplacian arise naturally in non-Newtonian mechanics, nonlinear elasticity, glaciology, population biology, combustion theory, and nonlinear ... See full document

... ceived much attention; see [, , –] and the references cited therein. In particular, we would like to mention some excellent results of Kong [] and Dai et al. []. In [], Kong considered the existence and ... See full document

... papers, positive solutions to differential equations with dependence on the first-order derivative have been investigated only for problems without deviating arguments, see [, , ... See full document

... μ > 0 are two parameters. Several new and more general existence and multiplicity results are derived in terms of different values of λ > 0 and μ > 0. In this case, our results cover equations without ... See full document

... differential equations are a class of important models which describe many evo- lution processes that abruptly change their state at a certain ...differential equations has become an active area of ... See full document

... of impulsive differential equations has been a significant development in the last two ...Periodic solutions and periodic boundary value problems of impulsive differential equations have ... See full document

... of solutions for impulsive differential equations via variational methods have been investigated by some ...clinic solutions of impulsive differential equations by variational ... See full document

... of positive solutions of a singular boundary value problem for second-order di ff erential systems with impulse e ff ...lower solutions method and fixed point index ... See full document

... The new theorems obtained improve and complement the relevant results reported in [, , , , , , ]. As is customary, all functional inequalities considered in the sequel are supposed to hold for all t large ... See full document

... of impulsive differential equations has been emerging as an important area of investigation in recent years (see ...differential equations, impulsive functional differential equations and ... See full document

... This work is supported by the National Nature Science Foundation of P. R.China 10871063 and Scientific Research Fund of Hunan Provincial Education Department 07A038, partially supported by Ministerio de Educacion ... See full document

... multiple positive solutions was ...of positive solutions for fourth-order impulsive differential equa- tions with one-dimensional m-Laplacian; for example, see ... See full document

... of positive solutions for the above problem by using transformation technique and Krasnosel’skii’s fixed point ...the deviating arguments are delayed and ...the impulsive term is ... See full document

... differential equations with the p-Laplacian operator arise in modeling some physical and natural phenomena and can occur, for example, in non-Newtonian mechan- ics, nonlinear elasticity, glaciology, ... See full document

... conditions y() = y() = y () = y () = , which can be used to model the deflection of elastic beams simply supported at the endpoints [–]. This explains the reason that the last two decades have witnessed an ... See full document

... In the following, we present some background details that motivate our research. Re- cently, Baculíková and Lacková [], Džurina and Hudáková [], Li et al. [, ], and Sun et al. [] established some oscillation ... See full document

... periodic solutions under the presence of a weak singularity is more recent, but has also attracted many researchers [, , , ...lower solutions [, ], Schauder’s fixed point theorem [, ], some fixed ... See full document

... In this section, we offer some remarks and comments on the associated problem (.). Remark . Some ideas of the proof of Theorem . come from Theorem .. in [] and Theorem  in [], but there are almost no papers ... See full document

... In this paper, we investigate the solutions of boundary value problems (1.1) with (1.2) for a second-order p-Laplacian difference equation [6–25]. By using the critical point theory ... See full document

... To seek necessary and sufficient conditions for the existence of solutions to the ordinary differential equations is important and interesting, but difficult. Professors Wei 16, 17, Du and Zhao 18, Graef and ... See full document