[PDF] Top 20 Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

... first-order nonlinear impulsive differential equations in finite (or infinite) dimensional spaces has been extensively studied (see ...the second-order nonlinear ... See full document

... and second order initial and boundary value ...study second-order differential equations with Dirichlet boundary ...gle-valued differential equations with linear ... See full document

... and second authors were supported financially by the National Natural Science Foundation of China (11071141, 11126231) and the Natural Science Foundation of Shandong Province of China (ZR2010AM017, ... See full document

... differential equations arising from the real world describe the dynamics of a process in which sudden, discontinuous jumps ...of impulsive differential equations ... See full document

... study impulsive differential equa- ...for impulsive differential equation boundary value prob- lems ...Neumann nonlinear differen- tial problem in [] (see also [, ] and [] for two-point and ... See full document

... are impulsive extensions of the work done by Grammatikopoulos et al [14] and Ladas and Stavroulakis [10], respectively, in their quest to find sufficient conditions for oscillation of all solutions of a ... See full document

... the impulsive differential equations with all kinds of bound- ary value is much more active in recent ...for impulsive prob- lems ...differential equations with inverse boundary ...differential ... See full document

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ... See full document

... This paper is concerned with the existence of extremal solutions of periodic boundary value problems for second-order impulsive integro-differential equations with integral jump ... See full document

... for second-order differential equations subject to nonlinear impulsive conditions and non-separated periodic boundary value ... See full document

... For a second order differential equation u = f (t, u, u ), one usually considers impulses in the position u and the velocity u . However, in the motion of spacecraft, one has to consider instantaneous ... See full document

... Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. Consequently, it is natural to assume that these perturbations act instantaneously, that ... See full document

... Our principal goal in this paper is to derive new oscillation criteria for equation () with- out requiring restrictive conditions () and (). Developing further ideas from the paper by Hasanbulli and Rogovchenko ... See full document

... of impulsive differential equations is an important branch of differential ...of impulsive differential equations emerging as an important area of research, since such ... See full document

... In this section, we consider an example to illustrate the effectiveness of our new theorems. For brevity, we restrict our attention to scalar-valued impulsive BVPs, although we note that it is not difficult to ... See full document

... differential equations, see, for example, [2, 3, 1, 4, 5] and the references cited in ...the second-order nonlinear impulsive differential ... See full document

... differential equations without impulse, it is very significant to obtain necessary and sufficient conditions for the oscillation corresponding to their characteristic equations; some ... See full document

... Professor, Department of Mathematics, Kakatiya Institute of Technology and Science, Yerragutta, Warangal, India 1 Professor, Department of Mathematics, Sridevi Women’s Engineering College, Gandipet, Hyderabad, India 2 ... See full document

... cone, second-order lower radial tangent set, and second-order radial tangent ...concepts, second-order radial composed tangent derivative, second-order radial ... See full document

... of impulsive periodic logistic single-species system with continuous periodic control strategy is ...cient conditions that guarantee the exponential stability of the impulsive evolution operator ... See full document