Results 1 to 10 of about 26 (26)

On functional reproducing kernels

open access: yesOpen Mathematics, 2023
We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
doaj   +1 more source

Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus

open access: yesAdvanced Nonlinear Studies, 2021
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
doaj   +1 more source

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

open access: yesAdvanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

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

open access: yesAdvanced 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
Some of the next articles are maybe not open access.

Lp estimates for multilinear convolution operators defined with spherical measure

Bulletin of the London Mathematical Society, 2021
Kalachand Shuin, Saurabh Shrivastava
exaly  

Estimates of the renewal measure

Journal of the Mathematical Society of Japan, 2021
exaly  

A new product formula involving Bessel functions

Integral Transforms and Special Functions, 2022
Mohamed Amine Boubatra   +2 more
exaly  

On the convolution of $L_2$ functions

Kodai Mathematical Journal, 1986
Saburou Saitoh
exaly  

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