Antiperiodic problems arise naturally from the mathematical models of various of physical processes see 1, 2 , and also appear in the study of partial differential equations and abstract differential equations see 3–5 . For instance, electron beam focusing system in travelling-wave tube’s theories is an antiperiodic problem see 6 . During the past twenty years, antiperiodic problems have been s...

a new two-step implicit linear obrechkoff twelfth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives is constructed in this paper. the purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial schrodinger equation and related problems. this algorithm belongs in the category of the multist...

in this paper, we introduce a hybrid approach based on neural network and optimization teqnique to solve ordinary differential equation. in proposed model we use heyperbolic secont transformation function in hiden layer of neural network part and bfgs teqnique in optimization part. in comparison with existing similar neural networks proposed model provides solutions with high accuracy. numerica...

The Einstein field equations for several cosmological models reduce to polynomial systems of ordinary differential equations. In this paper we shall concentrate our attention to the spatially homogeneous diagonal G2 cosmologies. By using Darboux’s theory in order to study ordinary differential equations in the complex projective plane CP we solve the Bianchi V models totally. Moreover, we carry...

In this paper, some fundamental strict and non-strict differential inequalities for the implicit perturbations of nonlinear first order ordinary causal differential equations have been established.

In recent years, Fuzzy differential equations are very useful indifferent sciences such as physics, chemistry, biology and economy. It should be noted, that if the equations that appear to be uncertain, then take help of fuzzy logic at these equations. Considering that most of the time analytic solution of such equations and finding an exact solution has either high complexity or cannot be solv...

we study difference equations which arise as discrete approximations to two-point boundary value problems for systems of second-order ordinary differential equations. We formulate conditions which guarantee a priori bounds on first differences of solutions to the discretized problem, We establish existence results for solutions to the discretized boundary value problems subject to nonlinear bou...