[PDF] Top 20 On closed-form solutions to a class of ordinary differential equations
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On closed-form solutions to a class of ordinary differential equations
... order ordinary differential equations involve finding the solution to the associated homogeneous differential equation first and involve guessing of solutions [1, 2, ... See full document
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Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials
... As already observed in the introduction, equation (.) has been already studied by var- ious authors for its relevance in many applicative models. The aim of the present paper is to provide multiplicity results for ... See full document
23
A Semi Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations
... certain class of ...a closed-form solution; therefore, it is very powerful and effective in finding both analytical and numerical solu- tions of second order linear ODEs with constant ... See full document
9
A Generalized Wirtinger's Inequality with Applications to a Class of Ordinary Differential Equations
... the solutions of 1.1, such as the existence of periodic solutions, bifurcations of periodic solutions, and stability of solutions, have been studied by many authors since 1970s of the last ... See full document
7
Oscillation Conditions for a Type of Second Order Neutral Differential Equations with Impulses
... a class of second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments and obtained sufficient conditions ensuring the ... See full document
5
Cell Division And The Pantograph Equation
... a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number ...Pantograph equations arise in a ... See full document
10
Ordinary Differential Equations
... Participation in all classes is essential for your academic success, especially in NYU Berlin’s content courses that, unlike most courses at NYU NY, meet only once per week in a double- session for three hours. Your ... See full document
6
A Equation and Its Connections to Nonlinear Integrable System
... finding solutions of A-Equation. In this work, we present a large class of exact solutions to A-Eq- uation and reveal the connection to a class of arbitrarily large systems of non- linear ... See full document
16
A program for predicting the intervals of oscillations in the solutions of ordinary second order linear homogeneous differential equations
... oscillatory solutions must be an attempt to transform an equation of the form () to another form in which all the coefficients are ...specific equations that are generalized forms of the ... See full document
23
On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis
... The temporal evolution of a dynamical system is usually described by points in space and time. The line joining all these points is called the trajectory . A tra- jectory that comes back upon itself to form a ... See full document
13
Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... Differential transformation method is used to find the solution of the higher order differential equations. The approximate solution of the problem is calculated in the form of a rapid ... See full document
5
Positive periodic solutions for third order ordinary differential equations with delay
... Q : K → K is completely continuous. This completes the proof of Lemma 5. Applying the fixed point index theory in cones to prove the existence of ω-periodic so- lutions of Eq. (1.1), we recall some concepts and ... See full document
11
Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations
... Recall that by the classical solution existence theorem, the domain of any solution of ODE is an open interval in R. In particular, for s > 0, the solution of the above Cauchy problem is well posed for s ∈ [t, ε). If ... See full document
12
On the existence of solutions for a class of first order differential equations
... then C(H(t)) ⊂ C(H). Moreover, T (C(H(t))) ⊂ T (C(H)). By Lemma 2.9, T (C(H)) is a relatively compact subset of C[a,b]; hence, T (C(H(t))) is relatively compact. By Lemma 2.10, T is continuous on C(H); hence T is ... See full document
10
Multiple solutions of ordinary differential systems with min max terms and applications to the fuzzy differential equations
... differential equations, and we investigate the existence and multiple solutions for a class of first-order differential system with min-max ...differential equations are ...multiple ... See full document
13
Special Multiplicative Operators for the Solution of ODE – Invariants and Representations
... analytic solutions to nonlinear ordinary differential equations (ODE) is an important research ...meromorphic solutions of autonomous nonlinear ODE is presented in ...nonlinear ... See full document
18
Entire solutions of certain class of differential difference equations
... differential equations in the complex plane C, it is always an interesting and quite difficult problem to prove the existence or uniqueness of the entire or meromorphic solution of a given ...meromorphic ... See full document
9
Closed Form Wave Solutions to the Nonlinear Partial Differential Equations via the Rational Expansion Method
... wave solutions in terms of hyperbolic, trigonometric and rational ...general solutions to many other nonlinear partial differential equations ...nonlinear equations, it can be applied ... See full document
9
EFFECTS OF THERMAL AND SOLUTAL STRATIFICATION ON MIXED CONVECTION FLOW ALONG A VERTICAL PLATE SATURATED WITH COUPLE STRESS FLUID
... of differential equations is nonlinear and non-homogenous, the closed form solutions are not obtained and hence the system is solved using the implicit Keller-box method (Cebeci and ... See full document
6
On closed form solutions of some nonlinear partial differential equations
... to closed-form solutions of the partial differential equa- tion: θ xx + θ yy + δexp(θ) = 0, which arises in the steady state thermal explosion the- ...exact solutions of the form θ(x,y) ... See full document
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