Project supported by the National Natural Science Foundation of China(Nos.12241205 and 12032019);the National Key Research and Development Program of China(No.2022YFA1203200);the Strategic Priority Research Program of Chinese Academy of Sciences(Nos.XDB0620101 and XDB0620103)。
The initial stresses widely exist in elastic materials.While achieving a continuum stress-free configuration through compatible unloading is desirable,mechanical unloading alone frequently proves insufficient,posing c...
supported by AFOSR under Grant No.FA9550-12-1-0384.
Rosenblatt and Rosenblatt-Volterra processes are two families of stochastic processes that are described by double Wiener-Itô integrals with singular kernels.The Rosenblatt processes have exponential singular kernels ...
supported by National Natural Science Foundation of China(Grant Nos.61973092,62073144,62333006,62173139);Science and Technology Innovation Program of Hunan Province(Grant No.2021RC4030)。
Over the past decade,the study of stability theory in integro-differential systems has grown significantly owing to their relevance in solving physical and engineering problems,such as viscoelasticity and thermo-visco...
It is well-known that interpolation by rational functions results in a more accurate approximation than the polynomials interpolation.However,classical rational interpolation has some deficiencies such as uncontrollab...
In this study, we prove the of existence of solutions of a convolution Volterra integral equation in the space of the Lebesgue integrable function on the set of positive real numbers and with the standard norm defined...