Results 21 to 30 of about 20,302 (268)

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, Olesya Borisovna Surneva   +1 more
doaj  

Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation

上海师范大学学报. 自然科学版, 2017
In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions ...
Wang Li, Tian Shoufu, Feng Lianli, Song Xiaoqiu   +3 more
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Nonlinear Operations and the Solution of Integral Equations [PDF]

Transactions of the American Mathematical Society, 1978
The letters 5, G and H denote a linearly ordered set, a normed complete Abelian group with zero element 0, and the set of functions from G to G that map O into 0, respectively. In addition, if Z E H and there exists an additive function a from S x S to the nonnegative numbers such that 11 Y(x, y)P-V(x, y)Q 11 < a(x, Y)llP-Q 12 for each {x, y, P, Q } in
openaire   +2 more sources

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

Наука. Инновации. Технологии, 2022
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya, Olesya Borisovna Surneva   +1 more
doaj  

On the Finite Complexity of Solutions in a Degenerate System of Quadratic Equations: Exact Formula

Entropy, 2023
The paper describes an application of the p-regularity theory to Quadratic Programming (QP) and nonlinear equations with quadratic mappings. In the first part of the paper, a special structure of the nonlinear equation and a construction of the 2-factor ...
Olga Brezhneva, Agnieszka Prusińska, Alexey A. Tret’yakov   +2 more
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Operator & Fractional Order Based Nonlinear Robust Control for a Spiral Counter-Flow Heat Exchanger with Uncertainties and Disturbances

Machines, 2022
This paper studies operator and fractional order nonlinear robust control for a spiral counter-flow heat exchanger with uncertainties and disturbances.
Guanqiang Dong, Mingcong Deng
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Solutions to p(x)-Laplace type equations via nonvariational techniques [PDF]

Opuscula Mathematica, 2018
In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone ...
Mustafa Avci
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Solitary Wave Solution of a Generalized Fractional–Stochastic Nonlinear Wave Equation for a Liquid with Gas Bubbles

Mathematics, 2023
In the sense of a conformable fractional operator, we consider a generalized fractional–stochastic nonlinear wave equation (GFSNWE). This equation may be used to depict several nonlinear physical phenomena occurring in a liquid containing gas bubbles ...
Wael W. Mohammed, Farah M. Al-Askar, Clemente Cesarano, Mahmoud El-Morshedy   +3 more
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Functional differential equations with infinite delay in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1991
In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being ...
Jin Liang, Tijun Xiao
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Applied Koopman Theory for Partial Differential Equations and Data-Driven Modeling of Spatio-Temporal Systems

Complexity, 2018
We consider the application of Koopman theory to nonlinear partial differential equations and data-driven spatio-temporal systems. We demonstrate that the observables chosen for constructing the Koopman operator are critical for enabling an accurate ...
J. Nathan Kutz, J. L. Proctor, S. L. Brunton   +2 more
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