The study of solutions of several systems of nonlinear partial differential difference equations

DOI10.1155/2022/4449502zbMath1495.35086OpenAlexW4285092381WikidataQ114069266 ScholiaQ114069266MaRDI QIDQ2162864

Keyu Zhang, Hong-Yan Xu, Meiying Yu

Publication date: 9 August 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/4449502

zbMATH Keywords

partial differential difference equation

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Partial difference equations (39A14)

Cites Work

• On entire solutions of some differential-difference equations
• A difference Picard theorem for meromorphic functions of several variables
• Entire solutions of Fermat type differential-difference equations
• A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Solutions of complex Fermat-type partial difference and differential-difference equations
• Complex difference equations of Malmquist type
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients
• Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables
• Results on entire and meromorphic solutions for several systems of quadratic trinomial functional equations with two complex variables
• Meromorphic functions sharing a set with applications to difference equations
• Entire solutions for several systems of nonlinear difference and partial differential-difference equations of Fermat-type
• Logarithmic difference lemma in several complex variables and partial difference equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Finite-order meromorphic solutions and the discrete Painlevé equations
• Malmquist type theorem and factorization of meromorphic solutions of partial differential equations
• Uniqueness of meromorphic functions onC^m
• On the equation 𝑓ⁿ+𝑔ⁿ=1
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