時標上動力方程研究及其套用

《時標上動力方程研究及其套用》是依託雲南大學，由李永昆擔任負責人的國家自然科學基金資助地區科學基金項目。

基本介紹

• 中文名：時標上動力方程研究及其套用
• 依託單位：雲南大學
• 項目負責人：李永昆
• 項目類別：地區科學基金項目

項目簡介

本項目旨在研究時標上的（泛函）動力方程的若干理論及套用問題，並主要研究： 1、 完善時標上的概周期動力方程理論,研究時標上的抽象方程的解、概周期解、幾乎自守解的存在性及穩定性等； 2、 時標上的分數階動力方程的周期解、概周期解的存在性及邊值問題解的存在性等。 3、 利用不動點定理、拓撲度理論、變分方法和臨界點理論研究帶有各種邊值條件的時標上的（泛函）動力方程解的存在性、多重性，特別是同宿解、異宿解的存在性、多重性問題。 4、 揭示時標上的脈衝（泛函）動力方程的定性性態是如何隨時標的粗細度、脈衝、偏差變元改變的。 5、 套用本項目新發展起來的理論研究時標上的生態模型、神經網路模型和經濟模型的各種定性性態。 本相目的研究將不僅發展時標動力方程的理論，還將進一步擴展非線先分析的理論和方法及時標動力方程自身的套用範圍。具有重要的理論及套用價值。

科研成果

序號	標題	類型	作者
1	Asymptotical stability of almost periodic solution for an impulsive multispecies competition–predation system with time delays on time scales	期刊論文	李永昆(#)(*)，Pan Wang
2	SOME REMARKS ON ALMOST PERIODIC TIME SCALES AND ALMOST PERIODIC FUNCTIONS ON TIME SCALES	期刊論文	李永昆(#)(*)
3	Square-mean almost periodic solutions for impulsive stochasticshunting inhibitory cellular neural networks with delays	期刊論文	Pan Wang(#)，李永昆，Bing Li(*)
4	Global Exponential Stability for DCNNs with Impulses on Time Scales	期刊論文	Yongkun Li(#)(*)，Yuanhong Zhi
5	Synchronisation of generalised stochastic neuralnetworks with delays and reaction–diffusion termson timescales	期刊論文	李永昆(#)(*)，Xiaofang Meng
6	Existence and Global Exponential Stability of Almost Periodic Solutions for a Class of Delay Duffing Equations on Time Scales	期刊論文	Li Yang(#)，Yongkun Li(*)
7	SIGN-CHANGING SOLUTIONS FOR A CLASS OF DAMPED VIBRATION PROBLEMS WITH IMPULSIVE EFFECTS	期刊論文	Jianwen Zhou(#)，李永昆(*)，Yanning Wang
8	Almost Automorphic Functions on the Quantum Time Scale and Applications	期刊論文	李永昆(#)(*)
9	Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line	期刊論文	李永昆(#)(*)，Yanning Wang
10	Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales	期刊論文	Xiaofang Meng(#)，Yongkun Li(*)
11	Permanence and almost periodic solutions for a single-species system with impulsive effects on time scales	期刊論文	Yongkun Li(#)(*)，Pan Wang，Bing Li
12	Almost Periodic Time Scales and Almost Periodic Functions on Time Scales	期刊論文	李永昆(#)(*)，Bing Li
13	Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales	期刊論文	Li Bing(#)，Yongkun Li(*)，Xuemei Zhang
14	Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays	期刊論文	Li Yang(#)，Yongkun Li(*)
15	Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales	期刊論文	Yongkun Li(#)(*)，Lei Wang，Yu Fei
16	Almost periodic solutions for neutral‐type neural networks with the delays in the leakage term on time scales	期刊論文	Pan Wang(#)，Yongkun Li，Yuan Ye(*)
17	Existence and Exponential Stability of Equilibrium Point for Fuzzy BAM Neural Networks with Infinitely Distributed Delays and Impulses on Time Scales	期刊論文	Yongkun Li(#)(*)，Lijie Sun，Li Yang
18	GLOBAL EXPONENTIAL STABILITY AND EXISTENCE OF ANTI-PERIODIC SOLUTIONS TO IMPULSIVE COHEN–GROSSBERG NEURAL NETWORKS ON TIME SCALES	期刊論文	Yongkun Li(#)(*)，Tianwei Zhang
19	Almost automorphic functions on time scales andalmost automorphic solutions to shunting inhibitory cellular neural networks on time scales	期刊論文	李永昆(#)(*)，Bing Li，Xiaofang Meng
20	Solvability of Boundary Value Problems for Impulsive Fractional Differential Equations Via Critical Point Theory	期刊論文	Yanning Wang(#)，Yongkun Li(*)，Jianwen Zhou
21	Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales	期刊論文	李永昆(#)(*)，Li Yang
22	An application of variational approach to aclass of damped vibration problems with impulsive effects on time scales	期刊論文	Jianwen Zhou(#)，Yanning Wang，李永昆(*)
23	Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales	期刊論文	Yanning Wang(#)，Jianwen Zhou，李永昆(*)
24	Existence and exponential stability of periodic solution for stochastic Hopfield neural networks on time scales	期刊論文	Li Yang(#)，李永昆(*)
25	Almost Automorphic Solutions for Fuzzy Cohen-Grossberg Neural Networks with Mixed Time Delays	期刊論文	李永昆(#)(*)，Xiaofang Meng，Xuemei Zhang
26	Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales	期刊論文	Pan Wang(#)，Qingmei Lin，李永昆(*)
27	Weighted pseudo-almost periodic functionson time scales with applications to cellular neural networks with discrete delays	期刊論文	Yongkun Li(#)(*)，Lili Zhao
28	Existence and exponential stability of positive almost periodic solution for Nicholson’s blowflies models on time scales	期刊論文	李永昆(#)(*)，Bing Li
29	C^n-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales	期刊論文	Li Yang(#)，Yongkun Li(*)，Wanqin Wu
30	An Application of Variational Approach to Delay Hamiltonian Systems on Time Scales with Impulses	期刊論文	Jianwen Zhou，李永昆(*)，Yanning Wang
31	Weighted pseudo-almost automorphic solutions of high-order Hopfield neural networks with neutral distributed delays	期刊論文	Lili Zhao(#)，Yongkun Li(*)，Bing Li
32	Anti-periodic solutions for neutral type FCNNs with time-varying delays and D operator on time scales	期刊論文	Bing Li(#)，李永昆(*)
33	Anti-periodic solution for impulsive BAM neural networks with time-varying leakage delays on time scales	期刊論文	李永昆(#)(*)，Li Yang，Wanqin Wu
34	Anti-periodic solution for fuzzy Cohen–Grossberg neural networks with time-varying and distributed delays	期刊論文	李永昆(#)(*)，Li Yang，Wanqin Wu
35	Exponential Stability of BAM Fuzzy Cellular Neural Networks with Time-Varying Delays in Leakage Terms and Impulses	期刊論文	Yongkun Li(#)(*)，Youqin Li
36	Pseudo almost periodic solutions for neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales	期刊論文	李永昆(#)(*)，Xiaofang Meng，Liangling Xion
37	Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions for Neutral Type Quaternion-Valued Neural Networks with Delays in the Leakage Term on Time Scales	期刊論文	Yongkun Li(#)(*)，Xiaofang Meng
38	C^1-Almost Periodic Solutions of BAM Neural Networks withTime-Varying Delays on Time Scales	期刊論文	李永昆(#)(*)，Lili Zhao，Li Yang
39	Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales	期刊論文	Yongkun Li(#)，Li Yang，Bing Li(*)
40	Global Exponential Stability of Weighted Pseudo-Almost Periodic Solutions of Neutral Type High-Order Hopfield Neural Networks with Distributed Delays	期刊論文	Lili Zhao(#)，Yongkun Li(*)
41	Permanence and almost periodic solutionof a multispecies Lotka-Volterra mutualism system with time varying delays on timescales	期刊論文	李永昆(#)(*)，Pan Wang
42	Almost periodic solutions for neutral delay Hopfield neural networks with time-varying delays in the leakage term on time scales	期刊論文	Ling Li(#)，李永昆(*)，Li Yang
43	Permanence and Almost Periodic Solution for an Enterprise Cluster Model Based on Ecology Theory with Feedback Controls on Time Scales	期刊論文	Yuanhong Zhi(#)，Zunling Ding，Yongkun Li(*)
44	Variational approach to a class of p-Laplacian systems on time scales	期刊論文	Jianwen Zhou(#)，Yongkun Li(*)
45	Almost periodic solution for neutral functional dynamic equations with stepanov-almost periodic terms on time scales	期刊論文	Yongkun Li(#)(*)，Pan Wang
46	Square-mean almost periodic solution for stochastic Hopfieldneural networks with time-varying delays on timescales	期刊論文	李永昆(#)(*)，Li Yang，Wanqin Wu
47	Multiple positive solutions of nonlinear third-order boundary value problems with integral boundary conditions on time scales	期刊論文	李永昆(#)(*)，Lingyan Wang
48	Impulsive Boundary Value Problems with Riemann-Stieltjes Delta-Integral Conditions and p-Laplacian Operator on Timescales	期刊論文	Yongkun Li(#)(*)，Pan Wang