Results 41 to 50 of about 210,435 (290)

Nonconvolution nonlinear integral Volterra equations with monotone operators

, 2010
Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper.
Arias, Arias, Arias, Arias, Arias, Askhabov, Bushell, Gripenberg, Karapetyants, M.R. Arias, Mydlarczyk, Mydlarczyk, R. Benítez, Szwarc, V.J. Bolós, Zeidler   +15 more
core   +1 more source

Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration
Nihan Güngör
doaj   +1 more source

Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method

Advances in Mathematical Physics, 2019
We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the ...
Mohamed R. Ali, M. Mousa, W. Ma
semanticscholar   +1 more source

Numerical Solution of Locally Loaded Volterra Integral Equations

Computation
Loaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov, Aliona Dreglea   +3 more
doaj   +1 more source

Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

Mathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
doaj   +1 more source

Optimal control of Volterra type stochastic difference equations [PDF]

, 1998
Many processes in automatic regulation, physics, etc. can be modelled by stochastic difference equations. One of the main problems of the theory of difference equations and their applications is connected with stability and optimal control [1].
Kuchkina, N., Shaikhet, L.
core   +1 more source

Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Mathematical Biosciences and Engineering, 2022
In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
doaj   +1 more source

The repetition factor and numerical stability of volterra integral equations [PDF]

, 1980
In this paper we prove that direct linear multistep methods for Volterra integral equations of the second kind with repetition factor equal to one are always stable. We show trivially that this result is not true for first kind equations.
Brunner, H., McKee, S.
core   +1 more source

Some weakly singular Volterra integral inequalities with maxima in two variables

Journal of Inequalities and Applications, 2023
In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
doaj   +1 more source

Volterra-Choquet integral equations [PDF]

Journal of Integral Equations and Applications, 2019
We study the classical Volterra integral equation of the second kind on an interval, in which the Lebesgue type integral is replaced by the more general Choquet integral with respect to a monotone, submodular and continuous from below and from above set function, including the so-called distorted Lebesgue measures.
openaire   +2 more sources