Results 21 to 30 of about 244 (39)

New convolutions for the Hartley integral transform imbedded in the Banach algebras and convolution-type integral equations

Demonstratio Mathematica
This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh, Giang Bui Thi, Ha Quan Thai   +2 more
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Commutants of the Dunkl Operators in C(R) [PDF]

, 2006
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15 ...
Dimovski, Ivan, Hristov, Valentin, Sifi, Mohamed   +2 more
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Exact Solutions of Nonlocal Pluriparabolic Problems [PDF]

, 2012
MSC 2010: 44A35 ...
Chobanov, Georgi, Dimovski, Ivan
core  

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting

Demonstratio Mathematica
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
doaj   +1 more source

Dunkl-spherical maximal function [PDF]

, 2013
In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.Comment: 16 pages.
Jemai, Abdessattar
core  

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

Nonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode, Ngarmadji Kossadoum, Koumla Sylvain   +2 more
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Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints [PDF]

, 2010
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact,
Tsankov, Yulian
core  

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source