Results 91 to 100 of about 208,946 (296)
A Singular Nonlinear Volterra Integral Equation [PDF]
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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Numerical solution of fractional differential equations via a Volterra integral equation approach
, 2013 The main focus of this paper is to present a numerical method for the solution of fractional differential equations. In this method, the properties of the Caputo derivative are used to reduce the given fractional differential equation into a Volterra ...
Shahrokh Esmaeili, M. Shamsi, M. Dehghan
semanticscholar +1 more source
Ecological graph theory: Simulating competition and coexistence on graphs
Methods in Ecology and Evolution, EarlyView.Abstract Since its inception, the evolutionary graph theory (EGT) has been extensively used to study the fixation probability, the rate of evolution, game‐theoretical topics and related questions in a spatially structured framework. However, few attempts have been made to use this framework in ecology.
Ata Kalirad, Ralf J. Sommer
wiley +1 more source
Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae
, 2008 Aims: In view of the substantial uncertainties regarding the possible dynamics of the dark energy, we aim at constraining the expansion rate of the universe without reference to a specific Friedmann model and its parameters.
Allen +30 more
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ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION
Demonstratio Mathematica, 1984 The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
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Volterra-Choquet integral equations [PDF]
Journal of Integral Equations and Applications, 2019 We study the classical Volterra integral equation of the second kind on an interval, in which the Lebesgue type integral is replaced by the more general Choquet integral with respect to a monotone, submodular and continuous from below and from above set function, including the so-called distorted Lebesgue measures.
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A practical guide to characterising ecological coexistence
Biological Reviews, EarlyView.ABSTRACT Coexistence is simultaneously one of the most fundamental concepts of ecology, and one of the most difficult to define. A particular challenge is that, despite a well‐developed body of research, several different schools of thought have developed over the past century, leading to multiple independent, and largely isolated, branches of ...
Adam T. Clark +9 more
wiley +1 more source
Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
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A complex network perspective on brain disease
Biological Reviews, EarlyView.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
, 2012 Field theory tools are applied to analytically study fluctuation and correlation effects in spatially extended stochastic predator-prey systems. In the mean-field rate equation approximation, the classic Lotka-Volterra model is characterized by neutral ...
Tauber, Uwe C.
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