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Chebyshev Polynomial Solutions of Certain Second Order NonLinear Differential Equations
"... The purpose of this study is to give a Chebyshev polynomial approximation for the solution of secondorder nonlinear differential equations with variable coefficients. For this purpose, Chebyshev matrix method is introduced. This method is based on taking the truncated Chebyshev expansions of the f ..."
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The purpose of this study is to give a Chebyshev polynomial approximation for the solution of secondorder nonlinear differential equations with variable coefficients. For this purpose, Chebyshev matrix method is introduced. This method is based on taking the truncated Chebyshev expansions
Geometric Solutions to Nonlinear Differential Equations
"... A general formalism to solve nonlinear differential equations is given. Solutions are found and reduced to those of second order nonlinear differential equations in one variable. The approach is uniformized in the geometry and solves generic nonlinear systems. Further properties characterized by the ..."
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Cited by 4 (4 self)
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by the topology and geometry of the The systematic solution to nonlinear partial differential equations has prohibited many advances in mathematics and physics. These equations, contrary to standard theory and linear equations, appear disparate and unsolvable in the general case. In the past the solutions
LEGENDRE POLYNOMIAL APPROXIMATION FOR NONLINEAR DIFFERENTIAL EQUATIONS
"... In this paper, it is concerned with the least squares method based on Legendre polynomials approximation for solving nonlinear initial value problem. In particular, it is noted that such polynomials can be effective for the solution of nonlinear equations if one needs to express products of Legend ..."
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In this paper, it is concerned with the least squares method based on Legendre polynomials approximation for solving nonlinear initial value problem. In particular, it is noted that such polynomials can be effective for the solution of nonlinear equations if one needs to express products
ON A NEW FUZZY TOPOLOGICAL NONLINEAR DIFFERENTIAL EQUATIONS
, 2014
"... After the introduction of fuzzy set (FS) by Zadeh [15] in 1965 and fuzzy topology by Chang [2] in 1967, several researches worked on the generalizations of the notions of fuzzy sets and fuzzy topology. The concept of intuitionistic fuzzy set (IFS) was introduced by Atanassov [1] in 1983 as a general ..."
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line segment, circle and ellipse and yielded a new family of second order non linear differential equations.
Oscillation Criteria of second Order NonLinear Differential Equations
"... Abstract—In this paper we are concerned with the oscillation criteria of second order nonlinear homogeneous differential equation. Example have been given to illustrate the results. Keywordscomponent; Oscillatory, Second order differential equations, NonLinear. 1. ..."
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Cited by 1 (1 self)
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Abstract—In this paper we are concerned with the oscillation criteria of second order nonlinear homogeneous differential equation. Example have been given to illustrate the results. Keywordscomponent; Oscillatory, Second order differential equations, NonLinear. 1.
Stability and Existence of Periodic Solutions in Nonlinear Differential Equations
"... Abstract — Our purpose,in this work, is to obtain periodic solutions of some nonlinear differential equation (NLDE) and to study the stability of these periodic solutions. Then we have studied the existence of limit cycles in NLDE and nonexistence by applying the theorem of (Negative PointcaréBendi ..."
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Abstract — Our purpose,in this work, is to obtain periodic solutions of some nonlinear differential equation (NLDE) and to study the stability of these periodic solutions. Then we have studied the existence of limit cycles in NLDE and nonexistence by applying the theorem of (Negative Pointcaré
OSCILLATION THEOREMS CONCERNING NONLINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER
"... Abstract. This paper concerns the oscillation of solutions of the differential eq.h r (t)ψ (x (t)) f ( x(t)) i· + q (t)ϕ(g (x (t)) , r (t)ψ (x (t)) f ( x(t))) = 0, ..."
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Abstract. This paper concerns the oscillation of solutions of the differential eq.h r (t)ψ (x (t)) f ( x(t)) i· + q (t)ϕ(g (x (t)) , r (t)ψ (x (t)) f ( x(t))) = 0,
ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS
"... ch ive of ..."
Confluence of singularities of nonlinear differential equations via Borel–Laplace transformations
, 2014
"... Borel summable divergent series usually appear when studying solutions of analytic ODE near a multiple singular point. Their sum, uniquely defined in certain sectors of the complex plane, is obtained via the Borel–Laplace transformation. This article shows how to generalize the Borel–Laplace transf ..."
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–Laplace transformation in order to investigate bounded solutions of parameter dependent nonlinear differential systems with two simple (regular) singular points unfolding a double (irregular) singularity. We construct parametric solutions on domains attached to both singularities, that converge locally uniformly
A Higher Order Non–Linear Differential Equation and a Generalization of the Airy Function
, 712
"... In this paper a higher order non–linear differential equation is given and it becomes a higher order Airy equation (in our terminology) under the Cole–Hopf transformation. For the even case a solution is explicitly constructed, which is a generalization of the Airy function. We start with an example ..."
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Cited by 1 (0 self)
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In this paper a higher order non–linear differential equation is given and it becomes a higher order Airy equation (in our terminology) under the Cole–Hopf transformation. For the even case a solution is explicitly constructed, which is a generalization of the Airy function. We start
Results 1  10
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2,088,774