Strong solutions to stochastic Volterra equations
, 2006 In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties for stochastic convolutions are studied.
Karczewska, Anna, Lizama, Carlos
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Properties of solutions for nonlinear Volterra integral equations [PDF]
, 2003 Some properties of non-locally bounded solutions for Abel integral equations are given. The case in which there exists two non-trivial solutions for such equations is also studied.
Arias, M. R., Benítez Suárez, Rafael
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An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab
Boundary Value Problems, 2011 Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundaries x = 0 and x = 1, and a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x = 0 ...
Salva Natalia +2 more
doaj
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]
, 2006 We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Aizicovici, S., Staicu, Vasile
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Stationary dense operators in sequentially complete locally convex spaces
, 2018 The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spaces.Comment: arXiv admin note: substantial text overlap with arXiv:1610 ...
c, Marko Kosti\' +2 more
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Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]
Int J Appl Comput Math, 2022 Pourdarvish A +3 more
europepmc +1 more source
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise. [PDF]
Stoch Partial Differ Equ, 2023 Fahim K, Hausenblas E, Kovács M.
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A free boundary problem-in time-for the spread of Covid-19. [PDF]
J Math Biol, 2023 Luckhaus S, Stevens A.
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Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
, 2001 A solution to the more than 300-years old problem of geometric and physical interpretation of fractional integration and differentiation (i.e., integration and differentiation of an arbitrary real order) is suggested for the Riemann-Liouville fractional ...
Podlubny, Igor
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions
, 2007 Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B. +1 more
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