[PDF] Top 20 Oscillation Criteria for Second Order Forced Dynamic Equations with Mixed Nonlinearities

... for oscillation of solutions in terms of the functions appearing in the corresponding equation, and almost all such conditions involve integrals or sums on infinite intervals ...interval oscillation method ... 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

... 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

... Remark . In this paper, several new oscillation criteria for equation (.) are obtained by using the Riccati substitution and Bernoulli’s inequality. Employing inequalities differ- ent from those ... See full document

... “Oscillation Criteria for Forced Second Order Quasi-Linear Differential Equations,” Ma- thematical and Computer Modelling, ...“Oscillation Criteria for ... See full document

... The paper is organized as follows. In the next section, by developing a Riccati transformation technique some sufficient conditions for oscillation of all solutions of 1.1 on time scales are established. In Section ... 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

... 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

... The purpose of this paper is to obtain a new sufficient condition for oscillation of (.). The result obtained is essentially new for equations (.)-(.). This paper is organized as follows. In Section , ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...the oscillation of the second-order nonlinear delay differential ... See full document

... of equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3, 4, 6, 11, 14, ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... A time scale T is an arbitrary nonempty closed subset of the real numbers. The theory of time scales was introduced by Hilger [6] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. ... See full document

... of dynamic equations on time scales, which goes back to Hilger [], provides a rapidly expanding body of literature where the main idea is to unify, extend, and generalise concepts from continuous, discrete ... See full document

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for quasi-linear neutral ... See full document

... for oscillation of a forced second order equation, but the result is very sharp, because a com- parison with equations of constant coefficient is used in the ...interval criteria ... See full document

... Equations of this type arise in a number of important applications such as problems in biological population dynamics, in neural network, in quantum theory, in computer science and in control theory. Hence, it is ... See full document

... where { c(n) } is a sequence of nonnegative real numbers and τ is any real number. In Section 3, we investigate the oscillatory property of (1.2) and discuss the case when λ = 1, that is, the linear case. Section 4 is ... See full document

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... See full document

... delay dynamic equations on time scales, in this paper, we consider the second-order nonlinear delay dynamic equation on time scales ... See full document