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Published in 2017 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-016-9463-0
Abstract: We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global hypoellipticity, in other words, the existence and regularity of…
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Keywords:
periodic solutions;
certain first;
regularity periodic;
solutions certain ... See more keywords
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Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-017-6484-9
Abstract: We consider transcendental meromorphic solutions with N(r, f) = S(r, f) of the following type of nonlinear differential equations: $${f^n} + {P_{n - 2}}\left( f \right) = {p_1}\left( z \right){e^{{\alpha _1}\left( z \right)}} + {p_2}\left(…
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Keywords:
left right;
type nonlinear;
nonlinear differential;
differential equations ... See more keywords
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Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2018.1536699
Abstract: ABSTRACT In this paper, we study the following differential equation where are constants. In fact, we discuss when the above differential equation has solutions and find the structure of solutions to the above equation.
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Keywords:
certain type;
briot bouquet;
equations solutions;
type briot ... See more keywords
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Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1072-y
Abstract: In this paper, relying on Nevanlinna theory of the value distribution of meromorphic functions, we mainly study meromorphic solutions of certain types of q-difference differential equations, obtain estimates of the growth order of their meromorphic…
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Keywords:
difference;
difference differential;
types difference;
meromorphic solutions ... See more keywords