On Solutions of Certain Non-Linear Differential-Difference Equations

2023/05/18 by Garima Pant, Pant, Garima, Pant, Sanjay Kumar
Mathematics · Medicine · #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2305.11234

openalex publication_date 2023/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study about solutions of certain kind of non-linear differential difference equations fⁿ(z)+wf^n-1(z)f^'(z)+f^(k)(z+c)=p₁e^α₁z+p₂e^α₂z and fⁿ(z)+wf^n-1(z)f^'(z)+q(z)e^Q(z)f(z+c)=p₁e^α₁z+p₂e^α₂ z, where n≥ 2, k≥0 are integers, w, p₁, p₂, α₁ & α₂ are non-zero constants satisfying α₁ ≠ α₂, 0\not≡ q is a polynomial and Q is a non-constant polynomial.

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