[PDF] Top 20 Some oscillation results for nonlinear second order differential equations with damping

... the oscillation of differential equations has attracted a great deal of interest in various fields due to its theoretical and practical applications in natural sciences and ...the oscillation of a ... See full document

... for Second Order Nonlinear Perturbed Differential Equations,” Jour- nal of Mathematical Analysis and Applications, ...for Second- ... See full document

... the oscillation of the third-order nonlinear neutral differential equations with damping and distributed ...The oscillation of the third-order damped equations is ... 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

... Remark . We establish two classes of oscillation criteria for (.) without requiring the restrictive conditions (.). Note that these results are based on the assumption (.) and, as fairly noticed by ... See full document

... new oscillation criteria for nonlinear second order difference equations with mixed neutral ...first order equations whose oscillatory behaviors are already ...obtained ... 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

... complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and ... See full document

... Our results will improve and extend results in (Baoguo et ...known results on nonlinear oscillation. These results have significant importance to the study of oscillation ... 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 damping or distributed deviating arguments have become an important area of research due to the fact that such equations arise in many real life prob- lems; see the ... See full document

... complex) order, it has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science ... See full document

... Fractional differential equations are generalizations of classical differential equations of integer order, and can find their applications in many fields of science and engineer- ...of ... See full document

... dynamic equations by Agarwal, Bohner and Saker in 2005 [1] (7) and the nonlinear delay dynamic equations by Sahiner [2] (6), some sufficient conditions for oscillation of (7) and (6) ... See full document

... several oscillation results were established for different kinds of impulsive delay differential equations (see Agarwal and Karakoc ...interval oscillation of impulsive delay ... 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

... of second-order nonlinear differential equations with damping ...new oscillation criteria are obtained for every solution of the equations to be oscil- latory, ... See full document

... several oscillation criteria for a class of second-order nonlinear neutral differential ...related results reported in the literature and can be used in cases where known theorems fail ... 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

... differential equations has been the subject of intensive study; we refer to the articles 1–13 ; Especially, the study of the oscillation of neutral delay differential equations is of great interest in ... See full document