Results 41 to 50 of about 754 (137)
Nonlinear Two-Phase Stefan Problem [PDF]
Journal of Sciences, Islamic Republic of Iran, 2007 In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
K. Ivaz
doaj
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley +1 more source
General Predictions for the Effects of Warming on Competition
Ecology Letters, Volume 29, Issue 6, June 2026.We combined two major theories in ecology to investigate whether warming may have general effects on competition for shared resources. We found that species' niche and fitness differences both decreased with warming, and that competing consumers with highly asymmetrical thermal traits underwent the most dramatic competitive shifts under warming ...
Kaleigh E. Davis +5 more
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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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Regularization of Nonlinear Volterra Integral Equations of the First Kind with Smooth Data
AppliedMathThe paper investigates the regularization of solutions to nonlinear Volterra integral equations of the first kind, under the assumption that a solution exists and belongs to the space of continuous functions.
Taalaibek Karakeev, Nagima Mustafayeva
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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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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
wiley +1 more source
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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Asymptotically periodic solutions of Volterra integral equations
Electronic Journal of Differential Equations, 2016 We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay.
Muhammad N. Islam
doaj
Applied Stochastic Models in Business and Industry, Volume 42, Issue 3, May/June 2026.ABSTRACT Traditional short‐rate models introduce volatility directly into the instantaneous rate via Brownian shocks. However, empirical data suggest that short‐term interest rates exhibit smoother behavior than such models imply. We propose a two‐factor Gaussian short‐rate model in which the short rate is a deterministic exponential filter of a ...
Allan Jonathan da Silva
wiley +1 more source