Research keywords (4):
Oscillation theory
, Ordinary differential equations
, 関数方程式
, Qualitative Theory of functional equations
Research theme for competitive and other funds (6):
2021 - 2025 Oscillation and instability of solutions of a spatial economic model caused by delay
2019 - 2022 Mathematical and numerical analysis of continuous and discrete dynamical systems for the urban formation process
2010 - 2012 New construction of phase space analysis that conforms to low-dimensional dynamical systems
2007 - 2010 Oscillation Theory for Nonlinear Differential Equations and Its Applications to Elliptic Equations
2007 - 2008 A New Departure for Phase Plane Analysis in Continuous and Discrete Dynamical Systems
2004 - 2006 Approach to the qualitative theory of functional equations by phase plane analysis
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Papers (25):
Yusuke Yamanaka, Naoto Yamaoka. Oscillation and nonoscillation theorems for Meissner’s equation. Applied Mathematics and Computation. 2021. 388. 125526-125526
Naoto Yamaoka, Pavel Rehak, Baku Ito. Applications of iterated logarithm functions on time scales to Riemann-Weber-type equations. Proc. Amer. Math. Soc. 2020. 148. 4. 1611-1624
Naoto Yamaoka. Oscillation and nonoscillation criteria for second-order nonlinear difference equations of euler type. Proceedings of the American Mathematical Society. 2018. 146. 5. 2069-2081
Naoto Yamaoka. Comparison theorems for second-order damped nonlinear differential equations. Springer Proceedings in Mathematics and Statistics. 2018. 230. 627-634