Taghavi, Ali Ghorbani, Horieh
Published in
Advances in Pure and Applied Mathematics

In this paper, we consider the system { - M 1 ( ∫ Ω | ∇ u | p ( x ) + | u | p ( x ) p ( x ) 𝑑 x ) ( Δ p ( x ) u - | u | p ( x ) - 2 u ) = λ a ( x ) | u | r 1 ( x ) - 2 u - μ b ( x ) | u | α ( x ) - 2 u in Ω , - M 2 ( ∫ Ω | ∇ v | q ( x ) + | v | q ( x ) q ( x ) 𝑑 x ) ( Δ q ( x ) v - | v |...

Székelyhidi, László Tabatabaie, Seyyed Mohammad Sadathoseyni, Bentol Hoda
Published in
Advances in Pure and Applied Mathematics

In this paper, we study varieties and characterize convolution operators on the algebras related to the new structures of KPC-hypergroups, which are a generalization of the classical ones.

Sharma, Jyoti Kumar, Ajay
Published in
Advances in Pure and Applied Mathematics

Several classes of locally compact groups have been shown to possess a qualitative uncertainty principle for the Gabor transform. These include Moore groups, the Heisenberg group ℍ n {\mathbb{H}_{n}} , the group ℍ n × D {\mathbb{H}_{n}\times D} (where D is a discrete group) and other low-dimensional nilpotent Lie groups.

Esquivel-Avila, Jorge A.
Published in
Advances in Pure and Applied Mathematics

We consider a quasilinear equation of fourth order that models the mechanical vibrations of a marine riser. We study the nonexistence of global solutions for any real value of the initial energy. To this end, we construct a new invariant set and improve previous results.

Khan, Subuhi Riyasat, Mumtaz Wani, Shahid Ahmad
Published in
Advances in Pure and Applied Mathematics

The article aims to explore some new classes of differential equations and associated integral equations for some hybrid families of Laguerre polynomials. The recurrence relations and differential, integro-differential and partial differential equations for the hybrid Laguerre–Appell polynomials are derived via the factorization method. An analogou...

Jolaoso, Lateef Olakunle Ogbuisi, Ferdinard Udochukwu Mewomo, Oluwatosin Temitope
Published in
Advances in Pure and Applied Mathematics

In this paper, we propose an iterative algorithm for approximating a common fixed point of an infinite family of quasi-Bregman nonexpansive mappings which is also a solution to finite systems of convex minimization problems and variational inequality problems in real reflexive Banach spaces. We obtain a strong convergence result and give applicatio...

Mandal, Krishanu De, Uday Chand
Published in
Advances in Pure and Applied Mathematics

The purpose of this paper is to study Ricci semisymmetric paracontact metric manifolds satisfying ∇ ξ h = 0 {\nabla_{\xi}h=0} and such that the sectional curvature of the plane section containing ξ equals a non-zero constant c. Also, we study paracontact metric manifolds satisfying the curvature condition Q ⋅ R = 0 {Q\cdot R=0} , where Q and R ar...

da Silva, Daniel Oliveira
Published in
Advances in Pure and Applied Mathematics

We consider the Cauchy problem for the Thirring model in the Gevrey spaces G σ , s {G^{\sigma,s}} . In particular, we prove that the analyticity of solutions persists for a short time. In addition, we derive a sufficient condition to ensure that solutions will continue to be analytic for all time.

Esmaeili, Hamid Erfanifar, Raziyeh Rashidi, Mahdis
Published in
Advances in Pure and Applied Mathematics

A new Schulz-type method to compute the Moore–Penrose inverse of a matrix is proposed. Every iteration of the method involves four matrix multiplications. It is proved that this method always converge with fourth-order. A wide set of numerical comparisons of the proposed method with nine higher order methods shows that the average number of matrix ...

Shojaee, Neda Rezaii, Morteza Mirmohammad
Published in
Advances in Pure and Applied Mathematics

In the present work, the harmonic vector field is defined on closed Finsler measure spaces through different approaches. At first, the weighted harmonic vector field is obtained as the solution space of a PDE system. Then a suitable Dirichlet energy functional is introduced. A σ-harmonic vector field is considered as the critical point of related a...