Results 71 to 80 of about 1,156,539 (216)
On series solutions of Volterra equations [PDF]
Applied Mathematics and Computation, 2006 41 ...
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Fractional Volterra integral equations: a neural network approach
, 2022 Fractional calculus has recently gained increasing interest in the economic and financial literature. As for economic models, economic growth has been modeled using a state space representation of fractional derivatives. These kinds of equations do not
Marisa Cenci +3 more
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Boundedness of Discrete Volterra Equations
Journal of Mathematical Analysis and Applications, 1997 The boundedness and stability of the solutions of discrete Volterra equations are investigated. This is done by different techniques: the use of Lyapunov functionals, the methods of majorants (comparison theorem), and perturbation techniques. The results are then applied to the discretization by direct quadrature methods of Volterra integral equations ...
Crisci, Maria Rosaria +3 more
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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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Ecology and Evolution, Volume 16, Issue 9, September 2026.This study examines the role of slope aspect in mediating the spatial homogeneity of alpine meadow communities on the Qinghai‐Tibetan Plateau through the lens of modern coexistence theory. We found that slope aspect strongly mediated community homogeneity by altering niche differences, but not fitness differences, with this effect being significant ...
Xiaotong Gong +11 more
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Theoretical and numerical results about some weakly singular Volterra-Fredholm equations
Journal of Numerical Analysis and Approximation Theory, 2008 In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Ecography, Volume 2026, Issue 9, September 2026.Ecosystem dynamics are shaped by interacting top‐down and bottom‐up processes, yet their relative importance may vary through time following disturbances such as disease outbreaks and changes in apex predator communities. Using a 52‐year time series in south‐central Sweden, we examined how disease, apex predators, and prey availability jointly impact a
Camilla Wikenros +4 more
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Nonlinear Volterra Integrodifferential Equations
Journal of Mathematical Analysis and Applications, 1994 This is a continuation of the authors' earlier paper [J. Math. Anal. Appl. 139, No. 1, 78-109 (1989; Zbl 0681.45010)]. Consider the semilinear Volterra integro-differential equation \[ u'(t) + Au(t) = \int^ t_ 0 a(t,s)g \bigl( s,u(s) \bigr) ds + f \bigl( t,u(t) \bigr), \quad t > 0, \] with \(u(0) = u_ 0\), where \(-A\) generates an analytic semigroup ...
Heard, M.L., Rankin, S.M.
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