[PDF] Top 20 OSCILLATION OF THE EVEN-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS

... delay equations appear in modeling of networks containing lossless transmission lines, in the study of vibrating masses attached to an elastic bar; see the Euler equation in some variational problems, in the ... See full document

... differential equations has been shown. Many papers deal with the oscillation of neutral differential equations which are often en- countered in applied problems in science and technology; see, ... See full document

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

... third order differential equations, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], and the references cited ... See full document

... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, biology and ... See full document

... functional differential equations have been studied in recent ...functional differential equations received much less attention, which is due mainly to the technical difficulties arising in ... See full document

... presented oscillation criteria which improved the existing results for the ...the oscillation of all solu- tions of equation ...new oscillation criteria, which improve and complement that given in ... See full document

... the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the ...the neutral ... See full document

... dynamic equations on time scales is a fairly new topic, and work in this area is rapidly ...dynamic equations on time scales unify the theories of differential equations and of difference ... See full document

... By using Riccati transformation technique, we established sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tends to zero. ... See full document

... φt, t, l 0, φt, l, l 0, and φt, s, l > 0, for l < s < t, and has the partial derivative ∂φ/∂s on E such that ∂φ/∂s is locally integrable with respect to s in E. By choosing the special function φ, it is possible ... See full document

... The neutral differential equations find numerous applications in natural science and ...the oscillation and nonoscillation of solutions of various types of neutral functional ... 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

... the oscillation of solutions for different classes of second order dif- ferential ...the oscillation problem for ...the nonlinear equations with damping ... See full document

... difference equations can be applied in several fields such as bifurcation analysis, population dynamics, stability theory, the dynamics of delayed network systems and ...of neutral delay difference ... 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

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... the oscillation theory of second order nonlinear equations with delay ...second order equation with first order delay equation, we obtain two different conditions to ensure ... See full document

... differential equations done by many researchers is motivated by many application problems in physics, biology, ecology, and so ...obtaining oscillation criteria for different classes of differen- tial and ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 184180, 9 pages doi 10 1155/2010/184180 Research Article Oscillation of Even Order Neutral Delay Differential Eq[.] ... See full document