Results 81 to 90 of about 3,298 (223)
Ulam stability of Volterra integral equation on a generalized metric space
, 2020 The aim of this paper is to give some Ulam-Hyers stability results for Volterra integral equations on a generalized metric space. In this case we consider the Volterra integral equation in the Krasnoselski-Krein and Naguno-Perron-Van Kampen conditions ...
LUNGU, Nicolaie, CIPLEA, Sorina Anamaria
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Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
REMATNumerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
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Applications of Normal S-Iterative Method to a Nonlinear Integral Equation
The Scientific World Journal, 2014 It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
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Niche Overlap Is Not Enough: Same Overlap, Contrasting Fluctuations
Ecology Letters, Volume 29, Issue 6, June 2026.Niche overlap summarizes competitive coupling at equilibrium, but it can fail to predict out‐of‐equilibrium dynamics such as temporal abundance correlations. We show that communities with identical niche overlap can exhibit opposite correlation patterns, and that a yield‐depletion mismatch (depletion dissimilarity minus yield dissimilarity ...
Akiva Goldberg +3 more
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Asymptotic analysis of a volterra integral equation
Applied Mathematics Letters, 1988 A Volterra integral equation of the form \(u(t)=\epsilon \int^{t}_{0}[\pi (t-s)]^{-1/2}F(u(s),s)ds\) is considered where \(F(0,t)\sim c_ 0t^{-r_ 0}\) and \(F_ u(0,t)\sim -c_ 1t^{-r_ 1}\) as \(t\to +\infty\) and \(r_ ...
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Singular Integral Equations of the Volterra Type [PDF]
Transactions of the American Mathematical Society, 1914 Equations of the form (1) sometimes arise,1: however, for which the conditions of Evans's theorem are not satisfied. Various cases in which this is true are considered in the present paper. In each instance an attempt is made not merely to prove the existence of a continuous solution, but also to determine its behavior for large values of x.
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Journal of Neurochemistry, Volume 170, Issue 6, June 2026.Components and properties of Ca2+ buffers in astrocytes, which should be considered for data interpretation and in computational modeling of astrocyte Ca2+ activity. ABSTRACT Astrocytic Ca2+ signaling is essential for maintaining physiological brain function, including the modulation of synaptic transmission, neurovascular coupling, and ion homeostasis.
Kerstin Lenk +2 more
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The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014 We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
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Capacitary measures for completely monotone kernels via singular control [PDF]
We give a singular control approach to the problem of minimizing an energy functional for measures with given total mass on a compact real interval, when energy is defined in terms of a completely monotone kernel.
Alexander Schied, Aurélien Alfonsi
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