[PDF] Top 20 On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
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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] ... See full document
5
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 ... See full document
11
Asymptotic behavior of increasing positive solutions of second order quasilinear ordinary differential equations in the framework of regular variation
... intermediate solutions for (E) and precisely determine their behavior at infinity, using the theory of regularly varying ...differential equations by means of regularly varying functions in the sense of ... See full document
22
A program for predicting the intervals of oscillations in the solutions of ordinary second order linear homogeneous differential equations
... then emerges. In what follows, we always begin with the canonical form () since all or- dinary second-order linear homogeneous differential equations can be initially cast into this form. We note ... See full document
23
Stability and boundedness of solutions of certain nonlinear delay differential equations of second order
... This paper is mainly concerned with the stability and boundedness of solutions of (1.1). For the special case in which (1.1) is a scalar equation (so that n = 1) with zero delay, a number of boundedness, stability ... See full document
12
The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... wave solutions, where G ( ) η satisfies the second order nonlinear ordinary differential ...investigated. Nonlinear partial differential equations have many ... See full document
15
Classifications of solutions of second order nonlinear neutral differential equations of mixed type
... of solutions of second order nonlinear neutral delay differential equations with positive and negative ...Differential Equations with ...Differential Equations with Deviating ... See full document
13
Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum
... anti-periodic solutions for nonlinear differential equations is closely related to the study of periodic ...periodic solutions of ...periodic solutions, the existence of anti- periodic ... See full document
12
Approximating positive solutions of nonlinear first order ordinary quadratic differential equations with maxima
... for all t ∈ I respectively. Clearly, C(I; R ) is a Banach algebra with respect to above supremum norm and is also partially ordered w.r.t. the above partially order relation ≤. It is known that the partially ... See full document
10
Application of Numerovs Method on Second Order Ordinary Differential Equations
... the differential equation of second order and finds the numerical solutions of second order differential equations with the various ...the second ... See full document
12
Multiple monotone positive solutions for higher order differential equations with integral boundary conditions
... for ordinary differential equations represent a very interesting and important class of problems and arise in the study of various physical, biological and chemical processes [–], such as heat con- ... See full document
12
Application of Hyperbola Function Method to the Family of Third Order Korteweg de Vries Equations
... wave solutions for the nonlinear family of third order Korteweg-de ...obtaining exact solutions for the nonlinear family of third ...other nonlinear partial ... See full document
9
EXISTENCE OF NONOSCILLATORY SOLUTIONS FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
... functional differential equations have been studied in recent ...of equations, one may follow [1, 2, 11, 12] and the references cited ...functional differential equations received much ... See full document
8
Interval criteria for oscillation of second-order impulsive delaydifferential equation with mixed nonlinearities
... impulsive differential equations is an important branch of differential ...impulsive differential equations emerging as an important area of research, since such equations have ... See full document
17
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... the exact solutions of nonlinear partial differential equations of fractional order by the fractional complex transformation [17] and modified simple equation me- thod [18] [19], ... See full document
7
A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... the second order ODE can be solved directly and ...two solutions at each step, no repetitive calculation on differentiation coefficients, producing quicker execution time, and reducing the total ... See full document
8
A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations
... of equations y ± xy ∓ y = , which possess the particular solution y = x and another particular solution that cannot be written in closed form (it contains the error function erf( √ x ... See full document
9
Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
... periodic solutions for ordinary differential equations is a very important branch in the differential equation ...periodic solutions for second-order differential equations ... See full document
11
On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis
... DOI: 10.4236/am.2018.911080 1226 Applied Mathematics was Henri Poincare that initiated the qualitative theory of differential equations. This qualitative approach was intended both to guide and bring to ... See full document
13
Approximating solutions of nonlinear second order ordinary differential equations via Dhage iteration principle
... of nonlinear differential equations via successive approximations has been a topic of great interest since long ...of nonlinear ordinary differential equations in terms of ... See full document
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