Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations
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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… read more here.
Keywords: periodic solutions; certain first; regularity periodic; solutions certain ... See more keywords
On meromorphic solutions of a certain type of nonlinear differential equations
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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(… read more here.
Keywords: left right; type nonlinear; nonlinear differential; differential equations ... See more keywords
On solutions of a certain type of Briot–Bouquet equations
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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. read more here.
Keywords: certain type; briot bouquet; equations solutions; type briot ... See more keywords
Growth of meromorphic solutions of certain types of q-difference differential equations
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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… read more here.
Keywords: difference; difference differential; types difference; meromorphic solutions ... See more keywords