[PDF] Top 20 Forced oscillation of second order differential equations with mixed nonlinearities

... Functional differential equations arise in many applied problems in natural sciences, technology, and automatic control; see, for instance, Hale []. In mechanical and engineer- ing problems, questions related to ... See full document

... of second order differential equations has a major role in the theory of differential ...linear differential equations which can be regarded as a na- tural generalization ... See full document

... that second order neutral functional differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational ...functional ... See full document

... differential equations appear more and more frequently in various research ar- eas, such as in modeling mechanical and electrical properties of real materials, as well as in rheological theory and other physical ... See full document

... impulsive differential equations is an important branch of differential ...the oscillation theory of impulsive differential equations emerging as an important area of research, ... See full document

... this second one seems to be better suited to such ...differential equations with Caputo fractional derivatives take on the same form as for integer-order differential equations, ... See full document

... interval oscillation criteria for a class of second-order nonlinear forced differential equations with variable exponent growth ...the oscillation of equations with ... See full document

... Interval oscillation criteria are more natural in view of the Sturm comparison theory since it is stated on an interval rather than on infinite rays and hence it is necessary to establish more interval ... See full document

... where γ > 0 is a quotient of odd positive integers, r t, qt are positive real valued rd- continuous functions on T, pt is a nonnegative real valued rd-continuous function on T and established sufficient conditions for ... See full document

... with oscillation and Sturmian theory, asymptotic theory, disconjugacy, eigenvalue problems, and various properties of the solutions of ...related equations; see for instance [, , –] and the references ... See full document

... well-known oscillation criteria in the literature, the interval oscillation criteria we have obtained provide further extensions of these to time ... See full document

... new oscillation criteria for () were obtained [, Theorems ...differential equations and neutral differ- ential equations with mixed ... See full document

... The objective of this paper is to study oscillation of a forced second-order neutral differential equation. By using the generalized Riccati substitution and integral technique, a new sufficient ... See full document

... Equations (.), (.), and (.) are special cases of (.). Note that Theorems . and . are Kamenev-type or Philos-type (see []) criteria for (.). The natural question now is: Can one apply methods ... See full document

... In this paper, a class of second-order nonlinear perturbed differential equation and its special cases are studied. By using the generalized Riccati transformation and well-known techniques, some new ... See full document

... impulsive differential equations is gradually occupying a central place among the theories of oscillations of impulsive differential ...impulsive differential equations play fundamental ... See full document

... OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS.. GRACE Department of Mathematics P.[r] ... See full document

... differential/difference equations of frac- tional order, the oscillation and nonoscillation of solutions for integer order second order difference equations are still ... See full document

... random differential equations is a rich area for variety of nonlinear or- dinary as well as partial random differential as well as integral equations which occur in several engineering and ... See full document

... In 8 , by employing a class of function H ∈ H and a generalized Riccati transformation technique, Rogovchenko and Tuncay studied the oscillation of 1.10. Let D {t, s : −∞ < s ≤ t < ∞}. Say a continuous ... See full document