Results 21 to 30 of about 288 (167)
Open Mathematics, 2019 The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference ...
Xu Hong Yan, Zheng Xiu Min
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Advances in Difference Equations, 2019 This paper mainly concerns the uniqueness of meromorphic solutions of first order linear difference equations of the form * R1(z)f(z+1)+R2(z)f(z)=R3(z), $$ R_{1}(z)f(z+1)+R_{2}(z)f(z)=R_{3}(z), $$ where R1(z)≢0 $R_{1}(z)\not \equiv 0$, R2(z) $R_{2}(z ...
Sheng Li, BaoQin Chen
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The Meromorphic Solutions of the Bruschi–Calogero Equation
Publications of the Research Institute for Mathematical Sciences, 2000 We give all the meromorphic functions defined near the origin 0 \in ℂ satisfying a functional equation investigated by Bruschi and Calogero [1], [2].
Kawazumi, N., Shibukawa, Y.
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Boundary Value Problems, 2019 This paper is mainly concerned with the boundary value problems for the general Schrödinger equation with general superlinear nonlinearity introduced in (Sun et al. in J. Inequal. Appl. 2018:100, 2018).
Hongjun He, Zhifeng Pang
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Axioms, 2023 Given an unbounded non-decreasing positive function φ, we studied what the relations are between the growth order of any solution of a complex linear differential–difference equation whose coefficients are entire or meromorphic functions of finite φ ...
Luis M. Sánchez-Ruiz +3 more
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A Cubic Hamiltonian System with Meromorphic Solutions [PDF]
Computational Methods and Function Theory, 2015 Consider the system of equations \[ \dot{q}=p^2+zq+\alpha,\quad \dot{p}=-q^2-zp-\beta,\quad\alpha,\beta\in\mathbb{C}. \] It is a Hamiltonian system with the Hamiltonian \[ H=\frac{1}{3}(q^3+p^3)+zpq+\alpha p+\beta q. \] In the paper it is proved that this system has the Painlevé property. Actually this result follows from a general result of the paper [
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All Admissible Meromorphic Solutions of Hayman's Equation [PDF]
International Mathematics Research Notices, 2014 We find all non-rational meromorphic solutions of the equation $ww"-(w')^2=α(z)w+β(z)w'+γ(z)$, where $α$, $β$ and $γ$ are rational functions of $z$. In so doing we answer a question of Hayman by showing that all such solutions have finite order. Apart from special choices of the coefficient functions, the general solution is not meromorphic and ...
Halburd, R, Wang, J
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Intersection numbers from higher-order partial differential equations
Journal of High Energy Physics, 2023 We propose a new method for the evaluation of intersection numbers for twisted meromorphic n-forms, through Stokes’ theorem in n dimensions. It is based on the solution of an n-th order partial differential equation and on the evaluation of multivariate ...
Vsevolod Chestnov +4 more
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On Meromorphic Solutions of Functional Equations of Fermat Type [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2018 15pages ...
Hu, Pei-Chu, Wang, Qiong
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MEROMORPHIC SOLUTIONS OF q-DIFFERENCE EQUATIONS
Kyushu Journal of Mathematics, 2003 Let \(q\) be a complex number with \(0 < | q| < 1\), and let \(a(z)\), \(b(z)\) and \(c(z)\) be polynomials having no common zeros. The authors treat a \(q\)-difference equation of first order \[ a(z)f(z) =b(z)f(qz)+c(z),\tag{1} \] in which they assume that \(a(0)\neq 0\), \(b(z)\not\equiv 0\) and \(A + B \geq 1\), where \(A =\text{deg\,}a(z)\), \(B = \
ELI, Ilham, YANAGIHARA, Niro
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