second-order nonlinear differential equations
New Oscillation Criteria for the Second Order Nonlinear Differential Equations with Damping
... of second-order nonlinear differential equations with damping ...the equations to be oscil- latory, which extend and improve some known results in the literature ...
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Oscillation theorems for second order nonlinear differential equations with deviating arguments
... OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS.. GRACE Department of Mathematics P.[r] ...
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Existence and uniqueness of periodic solutions of second order nonlinear differential equations
... tions, e and g respectively denote the T -periodic and T -periodic in the first argument and T > . However, to the best of our knowledge, most authors mentioned above have only considered the existence of periodic ...
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Existence of nonoscillatory solutions for second-order nonlinear differential equations of neutral type
... 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 ...
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Chebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory
... In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential ...
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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] ...
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Strong oscillations for second order nonlinear functional differential equations
... Oscillatory property of second order nonlinear differential equations.. with deviating argument Kexue.[r] ...
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Positive solutions for nonlinear second order differential equations with singularities
... In this paper, we establish the existence of positive periodic solutions to Eq.(1) through a basic application of nonlinear alternative principle of Leray-Schauder, generalizing in several aspects some results in ...
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Oscillation of second order nonlinear delay differential equations with nonpositive neutral coefficients
... differential equations due to the fact that they have numerous appli- cations in natural sciences and engineering; see, ...of second-order and third-order delay differ- ential equations; ...
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Oscillation criteria for a certain second order nonlinear perturbed differential equations
... In this paper, motivated by the ideas in [], we obtain several new oscillation criteria for Equation () and its special cases by using generalized Riccati transformation and well known techniques. The results obtained ...
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The Dhage Iteration Principle for Coupled PBVPs of Nonlinear Second Order Differential Equations
... of second order ordinary nonlinear differen- tial ...related differential equations under some suitable hybrid ...on nonlinear analysis and ...
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4. Oscillation Criteria for a Class of Second Order Nonlinear Differential Equations with Damping
... In the last decades, there has been an increasing interest in obtaining sufficient conditions for the oscillation of solutions for different classes of second order dif- ferential equations. ...
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Oscillation of Second Order Nonlinear Neutral Differential Equations with Mixed Neutral Term
... 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 ...
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Classifications of solutions of second order nonlinear neutral differential equations of mixed type
... In [–] the authors considered equation (.) with a(t) ≡ , α = β = or α = β and obtained conditions for the oscillation of all solutions of equation (.). Motivated by this observation, in this paper we consider ...
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A shooting method for singular nonlinear second order Volterra integro differential equations
... 6 1969, 365-374 [8] NA, T.Y., Computanonal Methods in Engineering Boundary Value Problems, Academic Press, New York 1979 [9] SHAW, R.E and GAREY, L.E., Monotonic approximations for nonli[r] ...
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Oscillation of Second Order Nonlinear Neutral Delay Differential Equations
... of differential equations with deviating ...of differential equations ...the nonlinear neutral delay differential equation ...
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Stability and boundedness of solutions of certain nonlinear delay differential equations of second order
... vector second-order nonlinear delay differential equations with a continuous deviating argument by using a Lyapunov function as basic ...
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Oscillation results for second order nonlinear neutral differential equations
... see also the paper by Han et al. [] where inaccuracies in [] were corrected and new oscillation criteria for () were obtained [, Theorems . and .]. We conclude this brief review of the literature by mentioning ...
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Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
... differential equations is a very important branch in the differential equation ...for second-order differential equations have been obtained by combining the classical method of lower and upper ...
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The nonlinear Kneser problem for singular in phase variables second-order differential equations
... for second-order nonlinear differential equations, obtained until the beginning of s of the last century, are reflected in the monograph by Sansone ...
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