Results 1 to 10 of about 321 (77)

Analysis of a hyperbolic geometric model for visual texture perception. [PDF]

open access: yesJ Math Neurosci, 2011
We study the neural field equations introduced by Chossat and Faugeras to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Faye G, Chossat P, Faugeras O.
europepmc   +2 more sources

Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

open access: yesDemonstratio Mathematica, 2021
In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj   +1 more source

Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation

open access: yesResults in Physics, 2021
In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
doaj   +1 more source

Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method

open access: yesDemonstratio Mathematica, 2021
The purpose of the paper is to find an approximate solution of the two-dimensional nonlinear fuzzy Volterra integral equation, as homotopy analysis method (HAM) is applied.
Georgieva Atanaska
doaj   +1 more source

Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function

open access: yesمجلة بغداد للعلوم, 2021
In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced.
Hameed Husam Hameed, Hayder M Al-Saedi
doaj   +1 more source

Ulam stability of Volterra integral equation on a generalized metric space

open access: yesStudia Universitatis Babeş-Bolyai. Mathematica, 2020
Sorina Ciplea and Nicolaie Lungu Abstract. The aim of this paper is to give some Ulam-Hyers stability results for Volterra integral equations on a generalized metric space. In this case we consider the Volterra integral equation in the Krasnoselski-Krein
Sorina Anamaria Ciplea, N. Lungu
semanticscholar   +1 more source

Some remarks on a fixed point theorem of Krasnoselskii [PDF]

open access: yes, 2003
Using a particular locally convex space and Schaefer's theorem, a generalization of Krasnoselskii's fixed point Theorem is proved. This result is further applied to certain nonlinear integral equation proving the existence of a solution on $\mathbb{R}_{+}
Avramescu, C.
core   +5 more sources

Polynomial solutions of nonlinear integral equations [PDF]

open access: yes, 2008
We analyze the polynomial solutions of a nonlinear integral equation, generalizing the work of C. Bender and E. Ben-Naim. We show that, in some cases, an orthogonal solution exists and we give its general form in terms of kernel polynomials.Comment: 10 ...
Andrews G E   +5 more
core   +2 more sources

Remarks on a nonlinear nonlocal operator in Orlicz spaces

open access: yesAdvances in Nonlinear Analysis, 2019
We study integral operators Lu(χ)=∫ℝℕψ(u(x)−u(y))J(x−y)dy$\mathcal{L}u\left( \chi \right)=\int{_{_{\mathbb{R}}\mathbb{N}}\psi \left( u\left( x \right)-u\left( y \right) \right)J\left( x-y \right)dy}$of the type of the fractional p-Laplacian operator ...
Correa Ernesto, Pablo Arturo de
doaj   +1 more source

Global attractors for nonlinear viscoelastic equations with memory [PDF]

open access: yes, 2013
We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the past history framework of Dafermos.
Conti, Monica   +2 more
core   +1 more source

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