Results 51 to 60 of about 1,498 (180)
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
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International Journal of Analysis and Applications, 2019 In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained
Amir Ghanenia +3 more
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Solving one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
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Entomologia Experimentalis et Applicata, Volume 174, Issue 8, Page 801-811, August 2026.Predation methods vary widely in their ability to quantify biological control. Estimating predation rates (the number of prey killed per predator per time unit) is crucial. Combining predation rates with predator abundance yields real‐time field estimates of pests consumed.
Yann Tricault +4 more
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On multidimensional integral equations of Volterra type [PDF]
Pacific Journal of Mathematics, 1972 http://deepblue.lib.umich.edu/bitstream/2027.42/7837/5/bad2439.0001.001.pdf ; http://deepblue.lib.umich.edu/bitstream/2027.42/7837/4/bad2439.0001.001 ...
openaire +3 more sources
Coexistence of poorer competitors for all available resources requires greater niche overlap
Ecosphere, Volume 17, Issue 7, July 2026.Abstract The need for niche differentiation among resource competitors to coexist is a universally accepted principle in ecology. However, this principle is derived from models with one or two resources or no resource dynamics at all. Graphical analysis of a consumer‐resource model including three resources shows that a consumer that is not the best ...
Mark A. McPeek
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Fredholm-Volterra integral equation with potential kernel
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
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Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
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Engineering Reports, Volume 8, Issue 7, July 2026.This study integrates EfficientNetV2‐based classification and counting of 12 pest species with a hybrid Neural ODE predator–prey model for biological pest control. Deep learning (DL) population estimates are used to initialize the ODE system, which is empirically validated against real insect population time‐series data.
M. Monzu Uddin +3 more
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Coexistence, crossover and extirpation in coalescent communities and ecotones
Oikos, Volume 2026, Issue 7, July 2026.When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
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