Results 61 to 70 of about 23,350 (203)
Generalized Volterra integral equations [PDF]
Czechoslovak Mathematical Journal, 1982 This work develops the basic theory for the generalized Volterra equation \[ x(t)=f(t)+\int^{t}_{0}K(t,ds,x(s)),\quad 0\leq ...
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Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis
Engineering Reports, Volume 8, Issue 4, April 2026.We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim +2 more
wiley +1 more source
Stability Issues for Selected Stochastic Evolutionary Problems: A Review
Axioms, 2018 We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone +3 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
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Abstract and Applied Analysis, 2014 Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
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Singularly perturbed volterra integral equations [PDF]
, 1999 This thesis studies singularly perturbed Volterra integral equations of the form eu(t)=/(t,e)+fg(t,s,11(5)) ds, 00 is a small parameter The function f(t,e) is defined for 00. The aim is to find asymptotic approximations l to these solutions.
Bijura, Angelina
core
Oikos, Volume 2026, Issue 4, April 2026.Seasonality in temperate ecosystems shapes species phenology, influencing interactions and food web structure. Variations in species richness and biomass affect trophic interaction strength, a crucial factor for community stability, which can be assessed through energy fluxes – an essential indicator of ecosystem function.
Simon Bazin +4 more
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Mathematical Modelling and Intuition in Microbiology: A Perspective
Environmental Microbiology, Volume 28, Issue 4, April 2026.Mathematical modelling in microbiology converts verbal reasoning into internally consistent hypotheses that can provide testable predictions, infer hidden parameters, and generate transferable intuition. By selecting an appropriate level of description, researchers can connect data to explanatory principles.
Jamie A. Lopez, Amir Erez
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Environmental Microbiology, Volume 28, Issue 4, April 2026.Our study explores coexistence regimes of a virus and a zooplankton with a single phytoplankton for different model structures (left panel). The inclusion of an infected class and a resistant class is sufficient to generate coexistence regimes (middle panel). Using algebraic solutions, we optimise our model emphasising the importance of including viral
Paul Frémont +8 more
wiley +1 more source
مجلة بغداد للعلوم, 2020 In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (
Muna Mansoor Mustafaf
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