Results 1 to 10 of about 101,253 (259)
Complex centers of polynomial differential equations
Electronic Journal of Differential Equations, 2007 We present some results on the existence and nonexistence of centers for polynomial first order ordinary differential equations with complex coefficients.
Mohamad Ali M. Alwash
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Complex Transforms for Systems of Fractional Differential Equations [PDF]
Abstract and Applied Analysis, 2012 We provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations ...
Rabha W. Ibrahim
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On Complex Differential-Difference Equations of Malmquist Type
Journal of Mathematics, 2022 In this paper, we shall give some properties of complex differential-difference equation of the form ∑μ=1nαμz∏i=1tfz+ciai0μf′z+ciai1μ⋯fkiz+ciaikiμ/∑ν=1mβνz∏i=1tfz+cibi0νf′z+cibi1ν⋯fkiz+cibikiν=Rz,fz, where aijμ μ=1,2,…,n and bijνν=1,2,…,mi=1,2,…,t;j=0,1,…
Jianjun Zhang
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Taylor-Galerkin method for solving higher-order nonlinear complex differential equations [PDF]
MethodsXThe Galerkin approach for numerically resolving higher-order Complex Differential Equations (CDEs) in a rectangular domain in the complex plane is presented in this work. Taylor polynomial functions are used in this method as basis or weighted functions.
Md. Humayun Kabir +2 more
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Three complex differential-difference equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we propose three complex differential-difference equations related to the integrable differential-difference equations.
Hasi Gegen, Xing-Biao Hu
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Weierstrass Integrability of Complex Differential Equations
Acta Mathematica Sinica, English Series, 2021 We characterize the complex differential equations of the form dydx=an(x)yn+an-1(x)yn-1+⋯+a1(x)y+a0(x), where a(x) are meromorphic functions in the variable x for j = 0,…,n that admit either a Weierstrass first integral or a Weierstrass inverse integrating factor.
Llibre, Jaume, Valls, Clàudia
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Complexity, 2023 In this study, Lane–Emden complex differential equations have been randomized by selecting random variables for the coefficients, initial conditions, and force functions of complex differential equations.
Mehmet Merdan +2 more
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A new analytic solution of complex Langevin differential equations [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this study, the authors introduce a solvability of special type of Langevin differential equations (LDEs) in virtue of geometric function theory.
Rabha W. Ibrahim
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Computational Complexity of Smooth Differential Equations [PDF]
Logical Methods in Computer Science, 2012 The computational complexity of the solutions $h$ to the ordinary differential equation $h(0)=0$, $h'(t) = g(t, h(t))$ under various assumptions on the function $g$ has been investigated. Kawamura showed in 2010 that the solution $h$ can be PSPACE-hard even if $g$ is assumed to be Lipschitz continuous and polynomial-time computable.
Akitoshi Kawamura +3 more
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On the Complexity of Quadratization for Polynomial Differential Equations [PDF]
, 2020 Chemical reaction networks (CRNs) are a standard formalism used in chemistry and biology to reason about the dynamics of molecular interaction networks. In their interpretation by ordinary differential equations, CRNs provide a Turing-complete model of analog computattion, in the sense that any computable function over the reals can be computed by a ...
Hemery, Mathieu +2 more
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