Results 31 to 40 of about 21,421 (200)

Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space

open access: yesJournal of Taibah University for Science, 2021
In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of ...
Reza Chaharpashlou   +2 more
doaj   +1 more source

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

open access: yesAbstract and Applied Analysis, 2014
We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
doaj   +1 more source

Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result [PDF]

open access: yes, 2009
We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a population density. In the first model a Laplace term represents the mutations. In the second one we model the mutations by an integral kernel. In both cases, we use
Barles, Guy   +2 more
core   +7 more sources

On a pseudo-Volterra nonhomogeneous integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova   +3 more
doaj   +1 more source

Embedding Stieltjes-Volterra integral equations in Stieltjes integral equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1977
J. A. Reneke has shown that the linear Stieltjes-Volterra integral equations studied by D. B. Hinton can be transformed into Stieltjes integral equations of the type studied by J. S. Mac Nerney. By taking advantage of the nonlinear nature of Mac Nerney’s results, Reneke was able to extend Hinton’s existence theorem to a nonlinear setting. In this paper,
openaire   +1 more source

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

open access: yesMathematical 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

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

open access: yes, 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   +2 more
core  

The feasibility principle in community ecology

open access: yesOikos, 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

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

open access: yesWildlife 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   +4 more
wiley   +1 more source

Regularization of Nonlinear Volterra Integral Equations of the First Kind with Smooth Data

open access: yesAppliedMath
The paper investigates the regularization of solutions to nonlinear Volterra integral equations of the first kind, under the assumption that a solution exists and belongs to the space of continuous functions.
Taalaibek Karakeev, Nagima Mustafayeva
doaj   +1 more source

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