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

Modifying an idea of E. Brietzke we give simple proofs for the recurrence relations of some sequences of binomial sums which have previously been obtained by other more complicated methods.

We present a study of the Adomian's Decomposition Method (ADM) applied to the Hamilton-Jacobi equations ut + H (ux) = 0. We recall the well known characteristics methods in the case of this type of equations to justify the existence or not…

The note contains the proof of the uniqueness theorem for the inverse problem in the case of $n$-th order differential equation.

We shall present an elementary approach to extremal decompositions of (quantum) covariance matrices determined by densities. We give a new proof on former results and provide a sharp estimate of the ranks of the densities that appear in the…

The Adomian decomposition method (ADM) is a universal approach to solving governing equations in various engineering and technological applications. The applicability of the ADM is almost limitless due to its universal applicability, but…

In this note we answer a question concerning lineability of the set of non-absolutely summing operators.

In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.

We prove a version of adelic descent for continuous localizing invariants.

In a present note we give a new proof of Etingof-Kazhdan quantization theorem.

We prove some new results related to Tanaka's formula.

We find solutions for a linear deformation of the symmetric three-term recursion relation. The orthogonal polynomials of the first and second kind associated with the deformed relation are obtained. The new density (weight) function is…

This note provides a new approach to a result of Foregger and related earlier results by Keilson and Eberlein. Using quite different techniques, we prove a more general result from which the others follow easily. Finally, we argue that the…

An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.

We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.

We prove that the Lalescu sequence is monotonically decreasing.

In this paper, we prove a result related to the deformation of complex submanifolds, modifying a result of Kodaira (Ann. Math, 75(1), 146-162, 1962).

This note is devotes to some remarks regarding the use of variational methods, of minimax type, to establish continuity type results

Motivated by partition regularity problems of homogeneous quadratic equations, we prove multiple recurrence and convergence results for multiplicative measure preserving actions with iterates given by rational sequences involving…

We provide new structural results on sets of positive reach in Euclidean spaces and Riemannian manifolds.

We obtain some results related to Romanoff's theorem.