Results 171 to 180 of about 10,386 (208)

Some Singular Integro-Differential Equations

Funkcialaj Ekvacioj, 2023
Summary: We are devoted with a singular integro-differential problem. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. We make use of \textit{W. M. Greenlee}'s idea [Ann. Inst. Fourier 18, No. 2, 135--191 (1968; Zbl 0175.40006)] to rewrite the singular integro-differential problem in a regular ...
Horani, Mohammed Al   +2 more
openaire   +1 more source

Integro-Differential Equations

1992
The aim of this chapter is to extend some results of Chapters 1 – 7 concerning boundedness, convergence and quasiconvergence to a class of integro-differential equations with retarded argument which arises from phase synchronization problems. Our aim is to apply ordinary differential equation methods such as the Bakaev-Guzh technique and non-local ...
Gennadij A. Leonov   +2 more
openaire   +1 more source

Reconstructing a fractional integro‐differential equation

Mathematical Methods in the Applied Sciences, 2020
We are concerned with the inverse problem of reconstructing a fractional integro‐differential equation from a single observation of its solution at an arbitrary point. We first prove the global existence of solutions generated by suitable initial conditions.
Amin Boumenir   +2 more
openaire   +2 more sources

Oscillatory solutions of fractional integro‐differential equations

Mathematical Methods in the Applied Sciences, 2020
We give necessary conditions to get oscillatory solutions of a class of fractional order neutral differential equations with continuously distributed delay by means of the fractional derivative with respect to a given function. In particular, oscillatory solutions of the considered fractional equations with Caputo and Hadamard type of fractional ...
Joel E. Restrepo, Durvudkhan Suragan
openaire   +2 more sources

Integro-Differential Equations of Fractional Order

Differential Equations and Dynamical Systems, 2012
For a Cauchy type problem for a two-dimensional integro-differential equation of fractional order the global unique existence of a solution is proved if the nonlinearity satisfies a global Lipschitz condition with a sufficiently small Lipschitz constant.
Abbas, Saïd   +2 more
openaire   +2 more sources

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