Results 101 to 110 of about 4,656 (229)

Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices

, 2011
A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan, S. McKee, Yuan, Y.X., Liu, X., X. Liu, McKee, S., Yuan, J.Y., Y.X. Yuan   +7 more
core   +1 more source

A Product Integral Solution of a Stieltjes-Volterra Integral Equation [PDF]

Proceedings of the American Mathematical Society, 1970
This paper demonstrates that the theory of Stieltjes-Volterra integral equations may be subsumed in Mac Nerney’s general integral equation theory by making suitable choices of linear spaces and sets of operators.
openaire   +2 more sources

Modified collocation-based numerical methods for Volterra Integral and Integro-Differential Equations

, 2009
The aim of this talk is to present modified collocation based numerical methods for solving Volterra Integral and Integro-Differential Equations (VIEs and VIDEs respectively), which turn out to be at the heart of many modern applications of Mathematics ...
D'AMBROSIO, RAFFAELE, PATERNOSTER, Beatrice, CARDONE, Angelamaria, CONTE, Dajana   +3 more
core  

Nonconvolution nonlinear integral volterra equations with monotone operators

, 2005
Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with nonconvolution kernels are presented in this paper.
Benítez, R., Bolós, V.J., Arias, M.R.
core   +1 more source

Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]

Computational Algorithms and Numerical Dimensions
This study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented.
Youssef Esmaiel, Magdi El-Azab, Galal El-Baghdady   +2 more
doaj   +1 more source

On Some Classes of Linear Volterra Integral Equations

Abstract and Applied Analysis, 2014
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
doaj   +1 more source

Estimating the Dynamics of R&D-based Growth Models [PDF]

Several R&D-based models of endogenous economic growth are investigated under the Solow-like assumption of fixed allocation of resources across activities.
Yuri, YATSENKO, Natali, HRITONENKO, Raouf, BOUCEKKINE   +2 more
core  

Generalised Dirichelt-to-Neumann map in time dependent domains

, 2012
We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Pelloni, Beatrice; id_orcid, Pelloni, Beatrice, Fokas, A. S.   +2 more
core   +1 more source

A Singular Nonlinear Volterra Integral Equation

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 ...
openaire   +4 more sources

An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations. [PDF]

Entropy (Basel), 2020
Mohammad M, Trounev A, Cattani C.
europepmc   +1 more source