Related papers: A note on the convergence of the Adomian decomposi…

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

A fractional Adomian decomposition method for fractional nonlinear differential equations is proposed. The iteration procedure is based on Jumarie's fractional derivative. An example is given to elucidate the solution procedure, and the…

In this note, we presented a new decomposition of elements of finite fields of even order and illustrated that it is an effective tool in evaluation of some specific exponential sums over finite fields, the explicit value of some…

We give a new proof of Chen-Lin result with Li-Zhang method.

The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

The Adomian decomposition method is a semi-analytical method for solving ordinary and partial nonlinear differential equations. The aim of this paper is to apply Adomian decomposition method to obtain approximate solutions of nonlinear…

In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.

In this note, we derive a Leibniz rule for difference quotient.

The paper presents a counterexample to the Hodge conjecture.

We show that with a few modifications the Adomian's method for solving second order differential equations can be used to obtain the known results of the special functions of mathematical physics. The modifications are necessary in order to…

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

This paper is an attempt to solve an important class of hypersingular integral equations of the second kind. To this end, we apply a new weighted and modified perturbation method which includes some special cases of the Adomian…

These notes derive a number of technical results on nonlinear contraction theory, a comparatively recent tool for system stability analysis. In particular, they provide new results on the preservation of contraction through system…

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

In these notes we provide the foundation for the deformation theoretic parts of arXiv:0807.3753 and arXiv:math/0102005.

This note gives a brief and `crash' introduction to the method of Homogenization with the use of wave equation and diffusion equation with periodic in space coefficients as instructive examples. We expose the method with the use of an…

Convergence results are stated for the variational iteration method applied to solve an initial value problem for a system of ordinary differential equations.

Adomian decomposition method is used for solving the seventh order boundary value problems. The approximate solutions of the problems are calculated in the form of a rapid convergent series and not at grid points. Two numerical examples…