Results 121 to 130 of about 3,163,886 (311)
Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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Journal of Sustainable Agriculture and Environment, Volume 4, Issue 4, December 2025.ABSTRACT Shifting from conventional to sustainable agriculture demands well‐designed experiments and robust analytical models to evaluate agroecological system performance and resilience. We modelled aphid population dynamics in broccoli monocultures and broccoli‐basil intercrops using spatio‐temporal approaches, informed by laboratory experiments on ...
Rayana M. R. Carvalho +3 more
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Electronic Journal of Differential Equations, 2015 A numerical method based on Legendre multi-wavelets is applied for solving Lane-Emden equations which form Volterra integro-differential equations. The Lane-Emden equations are converted to Volterra integro-differential equations and then are solved ...
Prakash Kumar Sahu, Santanu Saha Ray
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A Volterra equation with nonintegrable resolvent [PDF]
Proceedings of the American Mathematical Society, 1979 A counterexample, which shows that the resolvent associated with a nonnegative, nonincreasing function need not be integrable, is constructed.
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Effective Short‐Term Forecasting Strategies to Improve LULC Projections in Threatened Ecosystems
Journal of Geophysical Research: Biogeosciences, Volume 130, Issue 12, December 2025.Abstract Recent advancements in remote sensing imagery classification have greatly improved monitoring of land use/land cover (LULC) dynamics, deepening our understanding of their effects on ecosystems and terrestrial nutrient cycling. Forecasting LULC change remains challenging because it is strongly influenced by socioeconomic drivers and ...
Johny Arteaga, Hugo Fort
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Random volterra integral equations
Mathematical and Computer Modelling, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advances in Differential Equations, 2019 Volterra integro-differential equations arise in the modeling of natural systems where the past influence the present and future, for example pollution, population growth, mechanical systems and financial market. Furthermore, as many real-world phenomena
S. Khan, M. Ali, Ishtiaq Ali
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BSocial Tool Deciphers Highly Functional Plant Growth‐Promoting Bacterial Consortia
Microbial Biotechnology, Volume 18, Issue 12, December 2025.The use of the online tool BSocial can be used to decipher microbial social behaviour and select highly functional plant growth‐promoting consortia. Positive correlations are observed between species richness within the consortia and plant growth‐promoting traits such as phosphate solubilisation and indole acetic acid and siderophore production ...
María García‐Toledo +6 more
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Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
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ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION
Demonstratio Mathematica, 1984 The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
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