[PDF] Top 20 A Semi Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations

... a semi-analytical method (DTM) for solving a certain class of ...both analytical and numerical solu- tions of second order linear ODEs with constant ... See full document

... A bead sliding on a wire is a classic problem in theoretical dynamics [3]. Our interest in this problem is from the point of view of studying the resulting non- linear differential equations. We seek in ... See full document

... of solutions of several interesting classes of superlinear differential equations of the Landesman-Lazer type or of the Ambrosetti- Prodi type can be obtained from the characterization of non-degenerate ... See full document

... ation method and coincidence degree theory) and comparison method (including upper and lower solutions method and monotone iterative method) (see, for example, [–] and references ... See full document

... semilinear second-order ODE u gt, u, u 0 under different two- point boundary ...the method of upper and lower solutions, we obtain an existence ...of solutions of u gt, u, u 0 is ... See full document

... a class of second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments and obtained sufficient conditions ... See full document

... . As a final remark, we mention the fact that combining our technique with Ważewski’s method [], following the approach developed by Conley in [], one can deal with some more general classes of weight ... See full document

... perturbation method for the solution of non linear equations, but contrary to the traditional perturbation methods, HAM doesn’t need a small perturbation parameter in the ...of analytical solution as ... See full document

... of second- order ...periodic solutions to planar systems with nonlinearities crossing the two first eigenvalues of the differential operator and in the very recent work [18] by Fonda which is ... See full document

... the ordinary second-order linear homogeneous (OSLH) differential equations are known to possess analytic, closed-form solutions and there is no general theory to predict whether such ... See full document

... nonlinear differential equations via successive approximations has been a topic of great interest since long ...constructive method for the initial value problems of nonlinear ordinary ... See full document

... ear differential equations has been one of the major prob- ...from ordinary differential equa- ...direction. Analytical methods that are commonly used to solve nonlinear ... See full document

... the differential equations. This method reduces the size of computational domain and is easily applicable to many ...The differential transformation technique is one of the numerical methods ... See full document

... the differential equation of second order and how to find the numerical solutions of second order differential equations with the various ...Numerov’s method ... See full document

... positive solutions of second order quasilinear ordinary differential equations (p(t) ϕ (x (t))) + q(t) ψ (x(t)) = 0 are studied in the framework of regular variation, where p and q are ... See full document

... 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

... have also been employed to prove the existence of multiple periodic solutions of mixed type differential equations in []. When (.) reduces to the special case, see system (.), we obtain a more accurate ... See full document

... our method with order three BBDF2 method which has lower step size increment value from the proposed ...which method gives better performance in terms of maximum errors, number of total steps ... See full document

... Remark . From the proof of Theorem ., we see that the restriction in Theorem . to p, q, and R may extend to small functions.. In fact, it is easy to find that the conclusion is vali[r] ... See full document

... 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