Results 1 to 10 of about 367,090 (333)
Two-Sided Approximations For Nonlinear Operator Equations [PDF]
Computational Methods in Applied Mathematics, 2008 AbstractWe propose an analytical-numerical method for nonlinear operator equations which converges exponentially and provides two-sided approximations.
I. I. Lazurchak +2 more
openalex +2 more sources
Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
doaj +4 more sources
Nonlinear Inverse Problems for Equations with Dzhrbashyan–Nersesyan Derivatives
Fractal and Fractional, 2023 The unique solvability in the sense of classical solutions for nonlinear inverse problems to differential equations, solved for the oldest Dzhrbashyan–Nersesyan fractional derivative, is studied.
Vladimir E. Fedorov +2 more
doaj +1 more source
Nonlinear equations and operator algebras
Physica D: Nonlinear Phenomena, 1987 V.A. Marchenko
openalex +3 more sources
On the Propagation Model of Two-Component Nonlinear Optical Waves
Axioms, 2023 Currently, two-component integrable nonlinear equations from the hierarchies of the vector nonlinear Schrodinger equation and the vector derivative nonlinear Schrödinger equation are being actively investigated.
Aleksandr O. Smirnov, Eugeni A. Frolov
doaj +1 more source
On Local Unique Solvability for a Class of Nonlinear Identification Problems
Axioms, 2023 Nonlinear identification problems for evolution differential equations, solved with respect to the highest-order Dzhrbashyan–Nersesyan fractional derivative, are studied.
Vladimir E. Fedorov +2 more
doaj +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
doaj +1 more source
Iterative methods for solving Ambartsumian’s equations. Part 1
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. Ambartsumian’s equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology. An analytical solution to this equation is currently unknown,
I.V. Boykov, A.A. Shaldaeva
doaj +1 more source
Nonlinear Spectrum and Fixed Point Index for a Class of Decomposable Operators
Mathematics, 2021 We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra.
Shugui Kang, Yanlei Zhang, Wenying Feng
doaj +1 more source
Journal of Function Spaces, 2020 In this paper, we consider the existence of positive solutions for a Hadamard-type fractional differential equation with singular nonlinearity. By using the spectral construct analysis for the corresponding linear operator and calculating the fixed point
Xinguang Zhang +4 more
doaj +1 more source