Results 61 to 70 of about 1,656 (186)
Известия Иркутского государственного университета: Серия "Математика", 2016 The regularization method of linear integral Volterra equations of the first kind is considered. The method is based on the perturbation theory. In order to derive the estimates of approximate solutions and regularizing operator norms we use the Banach ...
I. Muftahov, D. Sidorov, N. Sidorov
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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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Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
Advances in Difference Equations, 2020 In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Alexandria Engineering Journal, 2013 A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
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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
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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Ecology and Evolution, Volume 16, Issue 9, September 2026.This study examines the role of slope aspect in mediating the spatial homogeneity of alpine meadow communities on the Qinghai‐Tibetan Plateau through the lens of modern coexistence theory. We found that slope aspect strongly mediated community homogeneity by altering niche differences, but not fitness differences, with this effect being significant ...
Xiaotong Gong +11 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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Ecography, Volume 2026, Issue 9, September 2026.Ecosystem dynamics are shaped by interacting top‐down and bottom‐up processes, yet their relative importance may vary through time following disturbances such as disease outbreaks and changes in apex predator communities. Using a 52‐year time series in south‐central Sweden, we examined how disease, apex predators, and prey availability jointly impact a
Camilla Wikenros +4 more
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