nonlinear second-order differential equations
Some oscillation results for nonlinear second order differential equations with damping
... Equations (.), (.), and (.) are special cases of (.). Note that Theorems . and . are Kamenev-type or Philos-type (see []) criteria for (.). The natural question now is: Can one apply methods ...
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Positive solutions for nonlinear second order differential equations with singularities
... that second order singular differential equations describe many problems in the applied sciences, such as the Brillouin focusing system and nonlinear ...ferential equations have ...
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The Dhage Iteration Principle for Coupled PBVPs of Nonlinear Second Order Differential Equations
... a nonlinear equation beginning with a lower or an upper solution converges monotonically to its solution forms a powerful tool in th existence theo- ry of such ...
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Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping
... for Second Order Nonlinear Perturbed Differential Equations,” Jour- nal of Mathematical Analysis and Applications, ...for Second- ...
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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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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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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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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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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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Existence and uniqueness of periodic solutions of second order nonlinear differential equations
... as nonlinear oscillations [, ], fluid me- chanical and nonlinear elastic mechanical phenomena [–] are associated with the peri- odic solutions of nonlinear high-order differential ...
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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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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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Existence of nonoscillatory solutions for second-order nonlinear differential equations of neutral type
... Abstract. In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some ...
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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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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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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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New Oscillation Criteria for the Second Order Nonlinear Differential Equations with Damping
... ( a t x t ′ ) ′ + p t x t q t x t ( ) ( ) ( ) ( ) ′ + = 0, (2) and the associated equations have been studied by many authors with a number of important results of oscillation. We recommend References [5]-[7] and ...
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On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... 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] ...
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Oscillation results for second order nonlinear neutral differential equations
... 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 ...
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