Results 11 to 20 of about 11,797 (246)
Stochastic Volterra integral equations with a parameter
Advances in Difference Equations, 2017 In this paper, we study the properties of continuity and differentiability of solutions to stochastic Volterra integral equations and backward stochastic Volterra integral equations depending on a parameter.
Yanqing Wang
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Advances in Difference Equations, 2018 This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind.
Bijan Hasani Lichae +2 more
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Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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TVB C++: A Fast and Flexible Back-End for The Virtual Brain. [PDF]
Adv Sci (Weinh)TVB C++ is a streamlined and fast C++ Back‐End for The Virtual Brain (TVB), designed to make it as flexible as TVB, and FAST. Another pillar is to be fully compatible with TVB so easy bindings can be created from Python. Users can easily configure TVB C++ to execute the same code but with enhanced performance and parallelism.
Martín I +7 more
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A practical guide to characterising ecological coexistence. [PDF]
Biol Rev Camb Philos SocABSTRACT 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 ...
Clark AT +9 more
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Ain Shams Engineering Journal, 2018 In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic ...
Yousef Jafarzadeh, Bagher Keramati
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Predicting solutions of the Lotka‐Volterra equation using hybrid deep network
Theoretical and Applied Mechanics Letters, 2022 Prediction of Lotka-Volterra equations has always been a complex problem due to their dynamic properties. In this paper, we present an algorithm for predicting the Lotka-Volterra equation and investigate the prediction for both the original system and ...
Zi-Fei Lin +3 more
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Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels
Abstract and Applied Analysis, 2012 Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well.
Ezzat R. Hassan
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The existence of consensus of a leader-following problem with Caputo fractional derivative [PDF]
Opuscula Mathematica, 2019 In this paper, consensus of a leader-following problem is investigated. The leader-following problem describes a dynamics of the leader and a number of agents. The trajectory of the leader is given.
Ewa Schmeidel
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