Research field (2)：
Basic analysis
, Mathematical analysis
Research keywords (11)：
Proportional-derivative controller
, Conformable Derivative
, Half-linear difference equations
, Harper equation
, Dynamic equations on time scales
, Difference equation
, Half-linear differential equations
, Mathieu equation
, Hill equation
, Oscillation theory
, Ordinary Differential Equations
Research theme for competitive and other funds (5)：
2024 - 2026 離散的事象が伴う常微分方程式系の解の漸近的性質の解明とその応用
2022 - 2026 一般化されたマシュー方程式とその離散方程式の精密解析
2022 - 2023 非整数階微分作用素をもつダイナミック方程式の解の振動性
2020 - 2021 時間尺度上の混合微分演算子をもつ動力学方程式の解の振動性の探求
2018 - 2019 一般化されたMathieu方程式の解の振動性
Papers (18)：
Kazuki Ishibashi, Masakazu Onitsuka. Oscillation Criteria of the Leighton-Wintner-Type and the Hille-Kneser-Type for Linear Differential Equations With a Proportional Derivative Controller. Mathematical Methods in the Applied Sciences. 2025. 48. 18. 16690-16699
Kazuki Ishibashi, Shouki Miyauchi, Housei Sakikawa. Oscillation of generalized Riemann-Weber type differential equations with delay. Results in Applied Mathematics. 2025. 27. 100637
Kōdai Fujimoto, Kazuki Ishibashi, Masakazu Onitsuka. Leighton-Wintner-type oscillation theorem for the discrete p(k)-Laplacian. Applied Mathematics Letters. 2025. 163. 109465
Kazuki Ishibashi. Riccati technique and nonoscillation of damped linear dynamic equations with the conformable derivative on time scales. Results in Applied Mathematics. 2025. 25. 100553
Kazuki Ishibashi. Partially extended oscillation and nonoscillation theorems for half-linear Hill-type differential equations with periodic damping. Mathematical Methods in the Applied Sciences. 2025. 3. 48. 3748
Kazuki Ishibashi. Non-oscillation criteria for damped half-linear dynamic equations with mixed derivatives on a time scale. Hokkaido University technical report series in mathematics. 2022. 182. 499-508
Kazuki Ishibashi. Nonoscillation of half-linear dynamic equations with mixed derivatives. 2020. 2149. 2020. 1-13
Kazuki Ishibashi. Nonoscillation of quasi-periodic Mathieu equations with two frequencies. Kokyuroku, Qualitative Theory of Ordinary Differential Equations and Related Areas. 2017. 2032. 2017. 21-33
Lectures and oral presentations (78)：
Equivalent transformations of second-order linear difference equations with a damping coefficient
(Colloquium on the Qualitative Theory of Differential and Difference Equations in OSAKA “QUALITDDE-2025” 2025)
Duffing振動子型非線形RLC回路方程式の解の振動性
(The 2025(76th)Chugoku-branch Joint Convention of Institutes of Electrical and Information Engineers 2025)
PD制御型微分演算子をもつ線形微分方程式のHille-Kneser型振動判定法
(2025)
PD制御型微分演算子をもつEuler-Cauchy型方程式の振動問題
(2025)
Wintner-type nonoscillation theorems for linear Sturm-Liouville differential equations using a proportional-derivative controller
(2024)
