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Some Higher Order Complex Vector Functional Equations [PDF]
Czechoslovak Mathematical Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +3 more sources
Вестник КазНУ. Серия математика, механика, информатика, 2021 The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
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Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
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Energy Engineering and Control Systems, 2021 The article focused on the development of information technology for the optimization of control over complex dynamic systems at the stage of their design that should realize possibilities of modeling of linear and nonlinear dynamic systems, the analysis
Taia Petik +3 more
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Exact solutions of nonlinear delay reaction–diffusion equations with variable coefficients
Partial Differential Equations in Applied Mathematics, 2021 A modified method of functional constraints is used to construct the exact solutions of nonlinear equations of reaction–diffusion type with delay and which are associated with variable coefficients.
M.O. Aibinu, S.C. Thakur, S. Moyo
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Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions
Mathematics, 2021 This paper describes a number of simple but quite effective methods for constructing exact solutions of nonlinear partial differential equations that involve a relatively small amount of intermediate calculations.
Alexander V. Aksenov, Andrei D. Polyanin
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A New Three-Step Root-Finding Numerical Method and Its Fractal Global Behavior
Fractal and Fractional, 2021 There is an increasing demand for numerical methods to obtain accurate approximate solutions for nonlinear models based upon polynomials and transcendental equations under both single and multivariate variables. Keeping in mind the high demand within the
Asifa Tassaddiq +5 more
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Stability of Complex Functional Equations in 2-Banach Spaces [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 Summary: In the paper, we obtain some results for the Hyers-Ulam stability of the following functional equations: \[ \mathsf{q}(x+iy)+\mathsf{q}(x-iy)+\mathsf{q}(y+ix)+\mathsf{q}(y-ix)=2\mathsf{q}(x)+2\mathsf{q}(y) \] and \[ \mathsf{q}(x+iy)+\mathsf{q}(x-iy)+\mathsf{q}(y+ix)+\mathsf{q}(y-ix)=0 \] in the setting of 2-Banach spaces.
Rana, Anshul +2 more
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Journal of Inequalities and Applications, 2023 This paper first investigates the equivalence of the space and translation invariance of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes for nonequivalent weight functions; secondly, based on semigroup theory, fractional ...
Ping Zhu
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Universal differential equations for glacier ice flow modelling [PDF]
Geoscientific Model Development, 2023 Geoscientific models are facing increasing challenges to exploit growing datasets coming from remote sensing. Universal differential equations (UDEs), aided by differentiable programming, provide a new scientific modelling paradigm enabling both complex ...
J. Bolibar +8 more
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