[PDF] Top 20 Behavior of second order nonlinear differantial equations

... BEHAVIOR OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS RINA LING Department of Mathematics California State University Los Angeles, California 90032 Received November 29, 1977 and in [r] ... See full document

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the literature and can ... 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

... Examples In this section, we give some examples on our approach for reduction and finding solutions of nonlinear second order ordinary differential equations, these equations and more eq[r] ... See full document

... which are real and the eigenspace corresponding to any such eigenvalue is one dimen- sional. The following lemma is crucial to the study of nonlinear perturbations of the linear problem (1.1). The required results ... See full document

... for equations on arbitrary time scales as in T ...forced second-order linear differential equations was first established by El-Sayed ...differential equations of the ... See full document

... Difference equations are widely found in mathematics itself and in its applications to combinatorial analysis, quantum physics, chemical reactions, and so ...difference equations and obtained many significant ... See full document

... This paper is concerned with oscillation and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time scale. We obtain two theorems which guarantee that every ... See full document

... Oscillatory property of second order nonlinear differential equations.. with deviating argument Kexue.[r] ... See full document

... of nonlinear integrodifferential equations of second- order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal ... See full document

... the second order neutral difference equations to a study of the oscillation properties of various types of first order difference inequalities, which clearly simplifies the investigation of the ... See full document

... to second order differential equations with singular nonlinear ...a nonlinear alternative principle of Leray-Schauder, together with a truncation ... See full document

... In Section 2, instead of Schauder estimates, we will derive higher order derivative estimates for solutions of 1.1, 1.2 when the boundary conditions are degenerate elliptic but strictly [r] ... See full document

... and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached ... See full document

... of nonlinear equations arise frequently in science and engineering they have attracted researcher's ...example, nonlinear systems of equations, after the necessary processing step of implicit ... See full document

... Abstract—Soliton equations are infinite-dimensional integrable systems described by nonlinear evolution ...soliton equations, long wave equation takes on profound significance of theory and ...and ... See full document

... differential equations have a great number of applications in electric ...differential equations, we refer the reader to [–] and the references cited ... See full document

... of second-order and higher-order neutral functional differential equations, in which the highest-order derivative of the unknown function is evaluated both at the present state and at ... See full document

... di¤erence equations or discrete dynamical systems are a fertile research area, not only in mathematics but also in many applied science such as economics, ...di¤erence equations or discrete dynamic systems ... See full document

... [8] studied the global behavior of positive solution to the fourth-order rational difference equations.. Although difference equations are sometimes very simple in their forms, they are [r] ... See full document