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Solvability of Nonlinear Integral Equations of Volterra Type
Abstract and Applied Analysis, 2012 This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral
Zeqing Liu, Sunhong Lee, Shin Min Kang
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Periodic solutions of Volterra integral equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 Consider the system of equations urn:x-wiley:01611712:media:ijmm793746:ijmm793746-math-0001 and urn:x-wiley:01611712:media:ijmm793746:ijmm793746-math-0002 Existence of continuous periodic solutions of (1) is shown using the resolvent function of the kernel k.
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A Review of Green's Function Methods for Tracer Timescales and Pathways in Ocean Models
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract Understanding advective‐diffusive dispersal of trace substances in environmental fluids like the global ocean is a ubiquitous challenge in geophysics. Since the turn of the millennium, substantial progress has been made in the theory, implementation in models, and application of such tracers in oceanography.
Thomas W. N. Haine +3 more
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Solutions for singular Volterra integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We consider the system of Volterra integral equations $$ \begin{array}{l} u_i(t)=\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\cdots, u_n(s)) + Q_i(s,u_1(s),u_2(s),\cdots, u_n(s))]ds, t\in [0,T],1\leq i\leq n \end{array} $$ where $T>0$ is fixed and the nonlinearities $P_i(t,u_1,u_2,\cdots,u_n)$ can be singular at $t=0$ and $u_j=0$ where $j\in\{1,2,\cdots,n\
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Research in the general area of non-linear dynamical systems Final report, 8 Jun. 1965 - 8 Jun. 1967 [PDF]
Nonlinear dynamical systems research on systems stability, invariance principles, Liapunov functions, and Volterra and functional integral ...
Hermes, H. +7 more
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Rough PDEs for Local Stochastic Volatility Models
Mathematical Finance, Volume 35, Issue 3, Page 661-681, July 2025.ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank +3 more
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Integral equations for the wave function of particle systems
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019 Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
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To the solution of one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev +3 more
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Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Diogo, Teresa +3 more
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