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Exponential polynomials and nonlinear differential-difference equations - MaRDI portal

Exponential polynomials and nonlinear differential-difference equations (Q2305192)

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Exponential polynomials and nonlinear differential-difference equations
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    Exponential polynomials and nonlinear differential-difference equations (English)
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    10 March 2020
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    Summary: In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial. We also find that any exponential polynomial solution of a nonlinear difference equation should have special forms.
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