[PDF] Top 20 Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods

... that equation () has at least two classical solutions and infinitely many classical solutions under different ...same impulsive problem in [] cannot only have two solutions but also ... See full document

... the equation φ (u) = J (u) + μψ (u) has at least three solutions in X whose norms are less than σ ...three solutions in X whose norms are less than σ ... See full document

... the multiplicity results of existence of solutions for a class of impulsive fractional differential ...use variational methods for smooth functionals, defined on the ... See full document

... of impulsive boundary value problems (IBVPs) became an important area of studies in recent ...of impulsive differential equations are topological methods as fixed point theorems, monotone iterations, ... See full document

... The existence and multiplicity of solutions to such problems have been extensively studied by many mathematicians; see the monographs of Podlubny [], Kilbas [], Diethelm [], and also [–] and ... See full document

... the existence and multiplicity of solutions for IBVP ...a variational method and a three critical points theorem due to Bonanno and Marano (see Theorem ... See full document

... for impulsive and Sturm-Liouville equations have been studied extensively in the ...positive solutions of differential equations, such as fixed point theory, topological degree theory and the comparison ... See full document

... The existence and multiplicity results for Equation (1) are consid- ered in [1-3] by using variational methods and fixed point theorems in cones of ordered Banach space with space ... See full document

... approach via variational methods and critical point theory to obtain the existence and multiplicity of solutions to a class of damped vibration problems with impulsive ... See full document

... of impulsive differential equa- tions in the ...lower solutions method and monotone iterative method) (see, for example, [–] and references ...the existence and multiplicity of ... See full document

... study impulsive differential equa- ...upper solutions and the coincidence degree theory ...applying variational methods to deal with the existence of solutions for ... See full document

... the existence of solutions for a second-order impulsive differential equation with two parameters on the half-line is ...Applying variational methods, we give some ... See full document

... approach via critical point and variational methods is proved to be very effective in studying the boundary problem for differential ...and variational methods, we refer the reader to ... See full document

... of second-order impulsive differential equations, the au- thors obtained existence results of positive solutions by using fixed point theorems in a ...on second-order bound- ... See full document

... the existence of solutions of a second-order impulsive differential equation with mixed boundary ...the existence of a unique solution, at least one solution, at least two ... See full document

... the existence problem for a second order impulsive functional differential ...of multiplicity positive periodic solutions are ...functional differential equations, ... See full document

... of impulsive di ff erential equations to di ff erent areas, for example, see ...for impulsive differential equations and im- pulsive difference equations [16–20] have received special attention from many ... See full document

... the existence and controllability of mild solutions for a damped second order impulsive neutral functional differential equation with state-dependent delay in Banach ... See full document

... a second-order differential equation u = f (t, u, u ), one usually considers impulses in the position u and the velocity u ...in impulsive mechanics (see []). An impulsive problem with ... See full document

... There are some common techniques to approach these problems: the fixed point theo- rems [, ], the method of upper and lower solutions [], or the topological degree theory [–]. On the other hand, in the last ... See full document