Results 41 to 50 of about 42,874 (261)

Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations

Discrete Dynamics in Nature and Society, 2021
Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
doaj   +1 more source

Fractional Integro-Differential Equations for Electromagnetic Waves in Dielectric Media

, 2011
We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order.
A. A. Kilbas, A. A. Stanislavsky, A. Carpinteri, A. K. Jonscher, A. K. Jonscher, A. K. Jonscher, G. M. Zaslavsky, P. Debye, R. R. Nigmatullin, R. R. Nigmatullin, R. R. Nigmatullin, S. G. Samko, V. E. Tarasov, V. E. Tarasov, V. V. Novikov, Y. Yilmaz   +15 more
core   +1 more source

Accelerating Solutions in Integro-Differential Equations [PDF]

SIAM Journal on Mathematical Analysis, 2011
In this paper, we study the spreading properties of the solutions of an integro-differential equation of the form $u_t=J\ast u-u+f(u).$ We focus on equations with slowly decaying dispersal kernels $J(x)$ which correspond to models of population dynamics with long-distance dispersal events. We prove that for kernels $J$ which decrease to $0$ slower than
openaire   +6 more sources

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

On $$L_p$$-solvability of stochastic integro-differential equations [PDF]

Stochastics and Partial Differential Equations: Analysis and Computations, 2020
AbstractA class of (possibly) degenerate stochastic integro-differential equations of parabolic type is considered, which includes the Zakai equation in nonlinear filtering for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces.
István Gyöngy, Sizhou Wu
openaire   +7 more sources

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

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

Size Effect on Photothermal Heating Ability of Gold Bipyramids

Advanced Optical Materials, EarlyView.
Gold bipyramids with identical spectral characteristics exhibits opposite volume‐dependent photo‐thermal heating at single‐particle versus collective scales. The thermal energy can be used to generate mechanical work by powering Stirling engine. Abstract Gold nanoparticles (AuNPs) exhibit photothermal properties that are fundamental to biomedical and ...
Aadesh Mohan Naik, Ana Sánchez‐Iglesias, José Luis Montaño‐Priede, Nirmala Maria D'souza, Jordi Sancho‐Parramon, Stefano A. Mezzasalma, Anish Rao, Marek Grzelczak   +7 more
wiley   +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