Results 1 to 10 of about 18,337 (169)
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
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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
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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
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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
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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
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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
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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
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Discrete Dynamics in Nature and Society, 2017 In spatial economics, the distribution of wages is described by a solution to the wage equation of Dixit-Stiglitz-Krugman model. The wage equation is a discrete equation that has a double nonlinear singular structure in the sense that the equation ...
Minoru Tabata, Nobuoki Eshima
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Nonlinear equations in private derivatives, related to the operator of Dirak
Наука. Инновации. Технологии, 2022 Theory of integrable nonlinear equations possessing soliton solutions of a new type - tipper solitons. The operator examines the design proposed by O.I. Bogoyavlensky, and having attractors in the phase space.
Olga Sergeevna Yanovskaya +1 more
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