Results 31 to 40 of about 23,350 (203)

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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

The feasibility principle in community ecology

Oikos, EarlyView.
The structure and function of ecological communities emerge from interactions among populations within specific environmental contexts. Yet we still lack general principles that explain how communities assemble, which patterns we should expect, and when transitions occur across diverse settings.
Serguei Saavedra
wiley   +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

Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]

, 2014
Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng, Wang, Tianxiao, Yong, Jiongmin   +2 more
core  

Overexploitation can counteract top‐down control and the paradox of enrichment in simple food chains

Oikos, EarlyView.
Because of its high abundance or its high feeding intensity, a consumer can overexploit its resource by consuming it on a shorter timescale than resource regeneration. While this short‐term overexploitation is widespread in nature, its general implications for biotic control patterns and ecosystem stability are not clear.
Josquin Guerber, Nicolas Loeuille, Isabelle Gounand   +2 more
wiley   +1 more source

On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation

Journal of Function Spaces, 2014
We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
doaj   +1 more source

Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

Alexandria Engineering Journal, 2014
In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan, M.S. Hashmi, S. Iqbal, T. Mahmood   +3 more
doaj   +1 more source

Adaptive harvesting of two trophic levels stabilises predator–prey dynamics. Simulations with Eurasian lynx and European roe deer

Wildlife Biology, EarlyView.
Europe has seen the recovery of many species of wild herbivores, which are now widespread across much of the continent. In addition, large carnivores are also recolonising many European countries. Most ungulates are managed through hunting, but natural predation can also have a significant influence in many areas.
Cécile A. E. Carpentier, Marco Heurich, Olivier Devineau, Olivier Gimenez, John D. C. Linnell   +4 more
wiley   +1 more source

New approach to optimal control of stochastic Volterra integral equations

, 2018
We study optimal control of stochastic Volterra integral equations (SVIE) with jumps by using Hida-Malliavin calculus. - We give conditions under which there exists unique solutions of such equations.
Agram, Nacira, Yakhlef, Samia, Øksendal, Bernt   +2 more
core   +1 more source