Results 71 to 80 of about 3,130,595 (306)

Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2005
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented.
Hereman, W., Sanders, J. A., Sayers, J., Wang, J. P.   +3 more
core  

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye, A. L. Sackitey, Agnes Adom‐Konadu, Samuel E. Assabil, Luca Guerrini, M. F. Ofori, Massimiliano Ferrara   +6 more
wiley   +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

Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM

Abstract and Applied Analysis, 2013
The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
doaj   +1 more source

On the solutions of a nonlinear Volterra equation

Journal of Mathematical Analysis and Applications, 1972
Publisher Summary This chapter presents the solutions of a nonlinear Volterra equation. A real nonlinear Volterra equation is given by: where b(t), f(t), g(x) are given real functions. There exists a solution x(t) on 0 ≤ t ≤ ∞. Moreover, under this hypothesis any solution of il) on 0 ≤ t ≤ ∞ satisfies sup |x(t)| < ∞.
openaire   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +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

Is an ecosystem perspective sufficient to understand meta‐ecosystem processes? A critical reflection

Oikos, EarlyView.
Meta‐ecosystems are the largest and probably most complex structures investigated in ecology. Because of their complexity they are often separated into their respective sub‐systems and then studied in isolation. This is often done without analysing whether an understanding of the individual ecosystems can lead to a proper understanding of the meta ...
Jurg W. Spaak, Mirco Bundschuh, Martin H. Entling, Ralf B. Schäfer, Ralf Schulz   +4 more
wiley   +1 more source

Convergence and data dependence results of the nonlinear Volterra integral equation by the Picard's three step iteration

AIMS Mathematics
Picard's three step iteration algorithm was one of the iteration algorithms that was recently shown to be faster than some other iterative algorithms in the existing literature.
Lale Cona
doaj   +1 more source

Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations

Discrete Dynamics in Nature and Society, 2018
We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences.
E. Messina, A. Vecchio
doaj   +1 more source