Soon-Mo Jung, Hamdullah Sevli, Sebaheddin Sevgin
Using the power series method, we solve the inhomogeneous linear first order differential equation
and prove an approximation property of Gaussian functions.
Submitted October 5, 2012. Published January 7, 2013.
Math Subject Classifications: 34A30, 34A40, 41A30, 39B82, 34A25.
Key Words: Linear first order differential equation; power series method; Gaussian function; approximation; Hyers-Ulam stability; local Hyers-Ulam stability.
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| Soon-Mo Jung |
Mathematics Section, College of Science and Technology
Hongik University, 339-701 Jochiwon, South Korea
| Hamdullah Sevli |
Department of Mathematics, Faculty of Sciences and Arts
Istanbul Commerce University
34672 Uskudar, Istanbul, Turkey
| Sebaheddin Sevgin |
Department of Mathematics, Faculty of Art and Science
Yuzuncu Yil University, 65080 Van, Turkey
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