Results 41 to 50 of about 43,848 (263)

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

Stochastic functional differential equations driven by L\'{e}vy processes and quasi-linear partial integro-differential equations

, 2012
In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
core   +1 more source

Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]

, 2005
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, EarlyView.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method

Open Mathematics
In this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A., Assanova Anar T., Kadirbayeva Zhazira M.   +2 more
doaj   +1 more source

Solving the Integral Differential Equations with Delayed Argument by Using the DTM Method

Sensors, 2022
Recently, a lot of attention has been paid to the field of research connected with the wireless sensor network and industrial internet of things. The solutions found by theorists are next used in practice in such area as smart industries, smart devices ...
Edyta Hetmaniok, Mariusz Pleszczyński, Yasir Khan   +2 more
doaj   +1 more source

H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations

, 2010
This paper is concerned with H\"older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the ...
Barles, Guy, Chasseigne, Emmanuel, Imbert, Cyril   +2 more
core   +3 more sources

Optimal dividends for a NatCat insurer in the presence of a climate tipping point

Canadian Journal of Statistics, EarlyView.
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher, Pablo Azcue, Nora Muler   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Computational methods and dynamical analysis for studying ( 1 + 1 ) $(1 + 1)$ dimensional functional equations of mixed integro-differential type

Boundary Value Problems
In the present paper, the Fibonacci collocation method is implemented to solve ( 1 + 1 ) $(1 + 1)$ dimensional difference equations of mixed integro-differential type.
Amr M. S. Mahdy, Mohamed A. Abdou, Doaa S. Mohamed   +2 more
doaj   +1 more source