Results 51 to 60 of about 3,307,000 (308)
, 2016 This paper studies the fractional Lotka-Volterra equations for three competitors, since the fractional derivatives possess the properties of good memory and have great biological significance. First of all, the equilibrium points and asymptotic stability
Changhong Guo, S. Fang
semanticscholar +1 more source
Asymptotic behavior of solutions of discrete Volterra equations
, 2016 We consider the nonlinear discrete Volterra equations of non-convolution type \[\Delta^m x_n=b_n+\sum\limits_{i=1}^{n}K(n,i)f\left(i,x_i\right), \quad n\geq 1.\] We present sufficient conditions for the existence of solutions with prescribed asymptotic ...
Janusz Migda, M. Migda
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AIMS Mathematics, 2023 We consider the terminal state-constrained optimal control problem for Volterra integral equations with singular kernels. A singular kernel introduces abnormal behavior of the state trajectory with respect to the parameter of $ \alpha \in (0, 1) $.
Jun Moon
doaj +1 more source
Solution of boundary value problems for batteries: Operator‐theoretic methods
AIChE Journal, EarlyView.Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna +1 more
wiley +1 more source
Stochastic Volterra integral equations and a class of first-order stochastic partial differential equations [PDF]
Stochastics, 2019 We investigate stochastic Volterra equations and their limiting laws. The stochastic Volterra equations we consider are driven by a Hilbert space valued Lévy noise and integration kernels may have non-linear dependence on the current state of the process.
F. Benth, Nils Detering, Paul Krühner
semanticscholar +1 more source
Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2016 We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
doaj +1 more source
Stochastic differential equations driven by additive Volterra-Lévy and Volterra-Gaussian noises [PDF]
arXiv, 2020 We study the existence and uniqueness of solutions to stochastic differential equations with Volterra processes driven by L\'evy noise. For this purpose, we study in detail smoothness properties of these processes. Special attention is given to two kinds of Volterra-Gaussian processes that generalize the compact interval representation of fractional ...
arxiv
On generalized Lotka-Volterra lattices [PDF]
, 2002 Generalized matrix Lotka-Volterra lattice equations are obtained in a systematic way from a "master equation" possessing a bicomplex formulation.
arxiv +1 more source
Processes and Predictions in Ecological Models: Logic and Causality
Journal of Forecasting, EarlyView.ABSTRACT To make credible ecological predictions for terrestrial ecosystems in a changing environment and increase our understanding of ecological processes, we need plant ecological models that can be fitted to spatial and temporal ecological data.
Christian Damgaard
wiley +1 more source
Astroglial CB1 Reveal Sex‐Specific Synaptic Effects of Amphetamine
Glia, EarlyView.Astroglial CB1R mediates long‐term synaptic plasticity (LTD) in the Nucleus accumbens. Amphetamine saturates adenosine receptors and blocks LTD in males, but not females. Locomotor effects of amphetamine require astroglial CB1R in males, but not in females.
Yamuna Mariani +15 more
wiley +1 more source