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An identity for a quasilinear ordinary differential equation and its applications (Modeling and Complex analysis for functional equations)

An identity for a quasilinear ordinary differential equation and its applications (Modeling and Complex analysis for functional equations)
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Functional constraints method for constructing exact solutions to delay reaction–diffusion equations and more complex nonlinear equations

Communications in Nonlinear Science and Numerical Simulation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polyanin, Andrei D., Zhurov, Alexei I.
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The Complex Monge-Ampère Type Equation for $\mathcal {F}$-plurisubharmonic Functions

Acta Mathematica Vietnamica, 2021
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Nguyen Thi Lien, Hoang Van Can, Hoang Viet   +2 more
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Parallel Genetic Algorithm for Finding Roots of Complex Functional Equation

2007 2nd International Conference on Pervasive Computing and Applications, 2007
In this paper, a parallel genetic algorithm for finding all roots of complex functional equation based on Parallel Virtual Machine (PVM) is present, research are made in some technical problems for realizing. We describe the design and implement of parallel genetic algorithm for finding roots complex functional equation.
Feng Liu, Xi Chen, Zhen Huang
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Singular partial complex differential equations as conditions for initial functions

Complex Variables, Theory and Application: An International Journal, 2000
This paper constructs solutions of initial value problems of Cauchy–Kovalevskaya type with initial functions satisfying a singular partial complex differential equations.
W. Tutschke, Z. Usmanov
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The complex WKB method for difference equations and Airy functions

2018
We consider the difference Schr{ }dinger equation $ $(z + h) + $ $(z -- h) + v(z)$ $(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h $\rightarrow$ 0 analytic solutions to this equation have a standard quasiclassical behavior near the points where v(z) = $\pm$2.
Klopp, Fr��d��ric, Fedotov, Alexander   +1 more
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A mathematical framework for functional mapping of complex phenotypes using delay differential equations

Journal of Theoretical Biology, 2011
All biological phenomena occurring at different levels of organization from cells to organisms can be modeled as a dynamic system, in which the underlying components interact dynamically to comprehend its biological function. Such a systems modeling approach facilitates the use of biochemically and biophysically detailed mathematical models to describe
Fu, Guifang, Wang, Zhong, Li, Jiahan, Wu, Rongling   +3 more
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Solution of a correlation function's defining integral equation for complex domains

International Journal of Quantum Chemistry, 1984
AbstractWe discuss the solution of the integral equation over complex domains of integration, such as the constant energy volume in solids and numerically tabulated functions, in the biquadratic limit. This will come in handy in the consistent inclusion of correlation effects in solid‐state computations.
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Measure Zero Stability Problem for Drygas Functional Equation with Complex Involution

2019
In this chapter, we discuss the Hyers–Ulam stability theorem for the σ-Drygas functional equation $$\displaystyle f(x+y)+f\big (x+\sigma (y)\big )=2f(x)+f(y)+f\big (\sigma (y)\big ) $$ for all \((x,y)\in \varOmega \subset \mathbb {C}^{2}\) for Lebesgue measure m(Ω) = 0, where \(f:\mathbb {C}\to Y\) and σ : X → X is an involution.
Ahmed Nuino, Muaadh Almahalebi, Ahmed Charifi   +2 more
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Extension of Melnikov criterion for the differential equation with complex function

Nonlinear Dynamics, 1993
The present paper presents an extension of Melnikov's theory for the differential equation with complex function. The sufficient condition for the existence of a homoclinic orbit in the solutions of a perturbed equation is given. The method shown in the paper is used to derive a precursor criterion for chaos.
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