지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper, we investigate the transcendental meromorphic solutions for the nonlinear differential equations $f^{n}f^{(k)}+Q_{d_{*}}(z,f)=R(z)e^{\alpha(z)}$ and $f^{n}f^{(k)}+Q_{d}(z,f)=p_{1}(z)e^{\alpha_{1}(z)}+p_{2}(z)e^{\alpha_{2}(z)}$, where $Q_{d_{*}}(z,f)$ and $Q_{d}(z,f)$ are differential polynomials in $f$ with small functions as coefficients, of degree $d_{*}\, (\leq n-1)$ and $d\, (\leq n-2)$ respectively, $R,\, p_{1},\, p_{2}$ are non-vanishing small functions of $f$, and $\alpha,\, \alpha_{1},\, \alpha_{2}$ are nonconstant entire functions. In particular, we give out the conditions for ensuring the existence of these kinds of meromorphic solutions and their possible forms of the above equations.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
W. K. Hayman / 1964 / Meromorphic Functions, Oxford Mathematical Monographs / Clarendon Press
I. Laine / 1993 / Nevanlinna Theory and Complex Differential Equations / Walter de Gruyter & Co
LIANG-WEN LIAO / 2014 / ON SOLUTIONS TO NONHOMOGENEOUS ALGEBRAIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATION / Journal of the Australian Mathematical Society 97(3):391~403
X. Q. Lu / 2017 / Meromorphic solutions of some types of nonlinear complex differential equations
W. R. Lu / 2018 / Meromorphic solutions for a class of differential equations and their applications / Izv. Nats. Akad. Nauk Armenii Mat 53(5):52~60
I. Laine / 1993 / Nevanlinna Theory and Complex Differential Equations / Walter de Gruyter & Co
LIANG-WEN LIAO / 2014 / ON SOLUTIONS TO NONHOMOGENEOUS ALGEBRAIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATION / Journal of the Australian Mathematical Society 97(3):391~403
X. Q. Lu / 2017 / Meromorphic solutions of some types of nonlinear complex differential equations
W. R. Lu / 2018 / Meromorphic solutions for a class of differential equations and their applications / Izv. Nats. Akad. Nauk Armenii Mat 53(5):52~60
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Some results on meromorphic solutions of q-difference differential equations
대한수학회보
2023 .05
-
Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function
대한수학회보
2017 .01
-
Expressions of meromorphic solutions of a certain type of nonlinear complex differential equations
대한수학회보
2020 .01
-
On meromorphic solutions of nonlinear partial differential-difference equations of first order in several complex variables
대한수학회보
2023 .03
-
On solutions to some nonlinear difference and differential equations
대한수학회지
2016 .01
-
Zero distribution of some delay-differential polynomials
대한수학회보
2020 .01
-
Growth of solutions of linear differential-difference equations with coefficients having the same logarithmic order
한국수학논문집
2021 .09
-
Certain Nonlinear Differential Polynomials Sharing a Nonzero Polynomial with Finite Weight
Kyungpook Mathematical Journal
2015 .01
-
Three results on transcendental meromorphic solutions of certain nonlinear differential equations
대한수학회보
2021 .01
-
UNIQUENESS AND VALUE SHARING PROBLEMS IN CLASS 𝓐 OF MEROMORPHIC FUNCTIONS
Journal of applied mathematics & informatics
2017 .01
-
Existence of transcendental meromorphic solutions on some types of nonlinear differential equations
대한수학회보
2020 .01
-
On unicity of meromorphic solutions of differential-difference equations
대한수학회지
2018 .01
-
UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS WITH REGARD TO MULTIPLICITY SHARING A SMALL FUNCTION
Journal of applied mathematics & informatics
2017 .01
-
RESULTS ON UNIQUENESS OF DIFFERENTIAL MONOMIAL AND DIFFERENTIAL POLYNOMIAL
Journal of applied mathematics & informatics
2019 .01
-
THE UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE DIFFERENTIAL POLYNOMIALS SHARE SOME VALUES
Journal of applied mathematics & informatics
2015 .01
-
UNIQUENESS FOR THE POWER OF A MEROMORPHIC FUNCTION
Journal of applied mathematics & informatics
2017 .01
-
Some growth aspects of special type of differential polynomial generated by entire and meromorphic functions on the basis of their relative $\left( p,q\right) $-th orders
한국수학논문집
2019 .01
-
Meromorphic functions partially shared values with their shifts
대한수학회보
2018 .01
-
On the Growth of Transcendental Meromorphic Solutions of Certain algebraic Difference Equations
Kyungpook Mathematical Journal
2024 .03
-
Linear differential polynomials sharing a set of the roots of unity
대한수학회논문집
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0