Analytic solutions of a second order iterative functional differential equation |
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| Authors: | Pingping Zhang Lufang Mi |
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| Affiliation: | aDepartment of Mathematics and Information Science, Binzhou University, Shandong 256603, PR China;bDepartment of Mathematics, Shandong University, Shandong 250100, PR China |
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| Abstract: | This paper is concerned with an iterative functional differential equationc1x(z)+c2x′(z)+c3x″(z)=x(az+bx′(z)) | with the delay depends on the argument of the unknown function and the state derivative. By reducing the equation with the Schröder transformation to another functional differential equation without iteration of the unknown function, we give existence of its local analytic solutions which extend the known results in related literature.
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| Keywords: | Iterative functional differential equation Analytic solution Complex field |
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