Study of solutions of certain type of non-linear differential-difference equations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917444193353728 |
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| author | Gahlian, Nidhi |
| author_facet | Gahlian, Nidhi |
| contents | In this paper, we analyze the solutions of the following non-linear differential-difference equations f^n(z) +ωf^(n-1)f'(z) +p(z)f(z+c) = p_1e^α_1z +p_2e^α_2z and f^n(z)f'(z) +q(z)e^Q(z)f(z+c) = p_1e^α_1z +p_2e^α_2z, where n is a positive integer,ω, p1, p2,α1 & α2 are non-zero constants satisfying α1 not equal to α2, α1/α2 not equal to (n)^+-1, q(z) is a non-vanishing polynomial and Q(z) is a non-constant polynomial. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_25751 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Study of solutions of certain type of non-linear differential-difference equations Gahlian, Nidhi Complex Variables In this paper, we analyze the solutions of the following non-linear differential-difference equations f^n(z) +ωf^(n-1)f'(z) +p(z)f(z+c) = p_1e^α_1z +p_2e^α_2z and f^n(z)f'(z) +q(z)e^Q(z)f(z+c) = p_1e^α_1z +p_2e^α_2z, where n is a positive integer,ω, p1, p2,α1 & α2 are non-zero constants satisfying α1 not equal to α2, α1/α2 not equal to (n)^+-1, q(z) is a non-vanishing polynomial and Q(z) is a non-constant polynomial. |
| title | Study of solutions of certain type of non-linear differential-difference equations |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2604.25751 |