Oscillation for a nonlinear neutral dynamic equations on time‐scales with variable exponents
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DOI: 10.1002/mma.5636
Abstract: In the present manuscript, we study the oscillation theory for a first‐order nonlinear neutral dynamic equations on timescales with variable exponents of the form read more here.
Keywords: nonlinear neutral; dynamic equations; variable exponents; neutral dynamic ... See more keywords
Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
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DOI: 10.1007/s00009-020-01589-1
Abstract: In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a… read more here.
Keywords: variable exponents; equations variable; hyperbolic equations; global existence ... See more keywords
Intrinsic Square Functions on Morrey and Block Spaces with Variable Exponents
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DOI: 10.1007/s40840-016-0330-6
Abstract: We establish the boundedness of vector-valued intrinsic square function on Morrey and block spaces with variable exponents. read more here.
Keywords: spaces variable; block spaces; variable exponents; morrey block ... See more keywords
The Ahlfors–Beurling transform on Morrey spaces with variable exponents
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DOI: 10.1080/10652469.2017.1422498
Abstract: ABSTRACT We establish the vector-valued inequalities of the Ahlfors–Beurling operator on Morrey spaces with variable exponents. As consequences of these inequalities, we have the boundedness of the Ahlfors–Beurling transform on Lebesgue spaces with variable exponents… read more here.
Keywords: spaces variable; ahlfors beurling; morrey spaces; variable exponents ... See more keywords
Nonlocal Dirichlet problems for anisotropic Schrödinger-type potential systems with variable exponents and critical nonlinearities
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DOI: 10.1080/17476933.2025.2454681
Abstract: This paper addresses a class of nonlinear Schrödinger–Kirchhoff-type potential systems characterized by a general variable exponent anisotropic elliptic operator with critical growth. By establishing appropriate conditions on the nonlinearities, we prove the existence and multiplicity… read more here.
Keywords: nonlocal dirichlet; schr dinger; variable exponents; type potential ... See more keywords
Gauss quadrature rules for integrals involving weight functions with variable exponents and an application to weakly singular Volterra integral equations
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DOI: 10.1093/imanum/drae088
Abstract: This paper presents a numerical integration approach that can be used to approximate on a finite interval, the integrals of functions that contain Jacobi weights with variable exponents. A modification of the integrand close to… read more here.
Keywords: variable exponents; integral equations; weakly singular; volterra integral ... See more keywords
Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Function Spaces"
DOI: 10.1155/2019/7607893
Abstract: In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents. read more here.
Keywords: spaces variable; commutators bilinear; bilinear hardy; variable exponents ... See more keywords
Exponential growth of positive initial energy for a system of higher-order viscoelastic wave equations with variable exponents
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DOI: 10.1186/s13660-024-03250-x
Abstract: This work addresses a value problem concerning a system of high-order nonlinear equations with viscoelastic terms acting in both equations and homogeneous Dirichlet conditions. Initially, we demonstrate that the system has a weak local solution… read more here.
Keywords: system; variable exponents; document; positive initial ... See more keywords
Corrigendum: Fractional integral on martingale hardy spaces with variable exponents
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DOI: 10.1515/fca-2017-0055
Abstract: Abstract This is an erratum to the paper “Fractional integral on martingale Hardy spaces with variable exponents”, Fract. Calc. Appl. Anal. 18, No 5 (2015), 1128–1145; DOI: 10.1515/fca-2015-0065. read more here.
Keywords: spaces variable; martingale hardy; variable exponents; integral martingale ... See more keywords
Sublinear operators on weighted Hardy spaces with variable exponents
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DOI: 10.1515/forum-2018-0142
Abstract: We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square functions and… read more here.
Keywords: weighted hardy; variable exponents; spaces variable; hardy spaces ... See more keywords
Blow up solution of inverse problem for nonlinear hyperbolic equation with variable-exponents
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DOI: 10.2298/fil2421479m
Abstract: In this work, we study the following inverse problem with variable exponents: utt-div(|?u|r(.)-2 ?u)+ a|ut|m(.)-2 ut-b|u|p(.)-2u = ?(t)w(x), where a, b > 0 are constants and variable exponents p(.), r(.) and m(.) are given functions.… read more here.
Keywords: blow solution; inverse problem; variable exponents;