Entire solutions of certain type of non-linear differential equations
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Bo Xue
Abstract
Utilizing Nevanlinna’s value distribution theory of meromorphic functions, we study transcendental entire solutions of the following type nonlinear differential equations in the complex plane
where Pj and αi are nonzero constants for j = 1, 2, 3, such that |α1| > |α2| > |α3| and P(z, f, f′, …, f(t) is an algebraic differential polynomial in f(z) of degree no greater than n – 1.
The author would like to thank her supervisor Zhi-Tao Wen for making suggestions to improve the paper.
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Communicated by Michal Fečkan
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© 2020 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Regular papers
- Doc. RNDr. Roman Frič, DrSc. – 3/4 C?
- Sugihara algebras and Sugihara monoids: Multisorted dualities
- Two by two squares in set partitions
- Identifying quantum logics by numerical events
- Some remarks on divisible polyhedral MV-algebras
- Remarks on b-metrics, ultrametrics, and metric-preserving functions
- Estimates of essential norm of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces
- Maximum term of transcendental entire function and spider’s web
- Entire solutions of certain type of non-linear differential equations
- On the oscillatory behavior of third order differential equations with a sublinear neutral term
- Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator
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The amalgam space
- On the topology of partial metric spaces
- The trace of the commutator of the Cesàro operator and a compact operator
- Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold
- On 4-th root metrics of isotropic scalar curvature
- On ultrametric-preserving functions
- Porosity of 𝓢-approximately continuous functions
- On a modified Burr XII distribution having flexible hazard rate shapes
- A study of chi-square-type distribution with geometrically distributed degrees of freedom in relation to distributions of geometric random sums
- An alternative estimate for the numerical radius of Hilbert space operators
