Results 101 to 110 of about 3,130,595 (306)
Discrete-time Simulation of Stochastic Volterra Equations [PDF]
arXiv.org, 2020 Alexandre Richard, Xiaolu Tan, Fan Yang
semanticscholar +1 more source
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
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
doaj +3 more sources
On the uniqueness of solutions of Volterra equations [PDF]
Journal of Integral Equations and Applications, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Biological Reviews, EarlyView.ABSTRACT Facilitative interspecific interactions (FIIs) confer benefits to at least one participant without detriment to others. Although often less emphasised than antagonistic interactions in ecological studies, this review highlights the significant ecological role of FIIs across biological scales – from individual behaviours to population ...
Eduardo Döbber Vontobel +5 more
wiley +1 more source
A third-order numerical method for solving fractional ordinary differential equations
AIMS MathematicsIn this paper, we developed a novel numerical method for solving general nonlinear fractional ordinary differential equations (FODEs). First, we transformed the nonlinear FODEs into the equivalent Volterra integral equations.
Xiaopeng Yi +4 more
doaj +1 more source
Integrable Origins of Higher Order Painleve Equations [PDF]
, 2010 Higher order Painleve equations invariant under extended affine Weyl groups $A^{(1)}_n$ are obtained through self-similarity limit of a class of pseudo-differential Lax hierarchies with symmetry inherited from the underlying generalized Volterra lattice ...
Aratyn, H. +2 more
core
Stability by decompositions for Volterra equations
Tohoku Mathematical Journal, 1985 The stability of the zero solution of the integro-differential equation \(\dot x(\)t)\(=A(t)x(t)+\int^{t}_{0}C(t,s)x(s)ds\), \(x(t)\in {\mathbb{R}}^ n\), is studied. A number of Ljapunov functionals is constructed for a modified version of this equation yielding sufficient conditions for instability, stability and asymptotic stability.
Burton, Theodore Allen +1 more
openaire +2 more sources
Moving Sum Procedure for Multiple Change Point Detection in Large Factor Models
Journal of Time Series Analysis, EarlyView.ABSTRACT This paper proposes a moving sum methodology for detecting multiple change points in high‐dimensional time series under a factor model, where changes are attributed to those in loadings as well as emergence or disappearance of factors. We establish the asymptotic null distribution of the proposed test for family‐wise error control and show the
Matteo Barigozzi +2 more
wiley +1 more source
Boundedness of solutions of matrix nonlinear volterra difference equations
Discrete Dynamics in Nature and Society, 2002 Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators.
Michael I. Gil', Rigoberto Medina
doaj +1 more source