BOUNDEDNESS OF LITTLEWOOD-PALEY OPERATORS WITH VARIABLE KERNEL ON THE WEIGHTED HERZ-MORREY SPACES WITH VARIABLE EXPONENT [PDF]
Surveys in Mathematics and its Applications, 2020 Let Ω∈L∞(ℝn)×L2(Sn-1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood-Paley operators with variable kernels on weighted Herz-Morrey spaces with variable exponent.
Afif Abdalmonem +2 more
doaj
CAPUTO TYPE FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL ERDÉLYI-KOBER TYPE INTEGRAL BOUNDARY CONDITIONS IN BANACH SPACES [PDF]
Surveys in Mathematics and its Applications, 2020 In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with Erdélyi-Kober type fractional integral boundary conditions.
Abdellatif Boutiara +2 more
doaj
On the Stability of Trigonometric Functional Equations
Advances in Difference Equations, 2007 The aim of this paper is to study the superstability related to the d'Alembert, the Wilson, the sine functional equations for the trigonometric functional equations as follows: .
Kim GwangHui
doaj
Fixed set theorems for discrete dynamics and nonlinear boundary-value problems
Electronic Journal of Differential Equations, 2011 We consider self-mappings of Hausdorff topological spaces which map compact sets to compact sets and establish the existence of invariant (fixed) sets.
Robert Brooks +2 more
doaj
On a fractional differential inclusion with four-point integral boundary conditions [PDF]
Surveys in Mathematics and its Applications, 2013 We study the existence of solutions for fractional differential inclusions of order q∈ (1,2] with four-point integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.
Aurelian Cernea
doaj
Two component regularity for the Navier-Stokes equations
Electronic Journal of Differential Equations, 2009 We consider the regularity of weak solutions to the Navier-Stokes equations in $mathbb{R}^3$. Let $u:=(u_1,u_2,u_3)$ be a weak solution and $widetilde{u}:=(u_1,u_2,0)$.
Jishan Fan, Hongjun Gao
doaj
Positive periodic solutions for Lienard type p-Laplacian equations
Electronic Journal of Differential Equations, 2009 Using topological degree theory, we obtain sufficient conditions for the existence and uniqueness of positive periodic solutions for Lienard type p-Laplacian differential equations.
Junxia Meng
doaj
Anti-periodic solutions for high-order cellular neural networks with time-varying delays
Electronic Journal of Differential Equations, 2010 In this article, we study anti-periodic solutions for high-order cellular neural networks with time-varying delays. Sufficient conditions for the existence and exponential stability of anti-periodic solutions are presented.
Zuda Huang, Lequn Peng, Min Xu
doaj
Instability and exact multiplicity of solutions of semilinear equations
Electronic Journal of Differential Equations, 2000 For a class of two-point boundary-value problems we use bifurcation theory to show that a solution is unstable under a simple, geometric in nature, assumption on the non-linear term. As an application we obtain some new exact multiplicity results.
Philip Korman, Junping Shi
doaj
Generalized compatibility in partially ordered metric spaces [PDF]
Surveys in Mathematics and its Applications, 2016 In this paper, we introduce the notion of generalized compatibility of a pair of mappings F,G:X× X→ X, where (X,d) is a partially ordered metric space.
Hassen Aydi, Manel Jellali
doaj