In this paper,a kind of high order functional differential equation is considered.By using the theory of concidence degree,a sufficient condition of existence of at least one 2π-period solution is obtained.
By discussing the zeros of periodic.solutions we give in this paper a criterion for the existence of exactly n+1 simple 4-periodic solutions of the differential delay equation x(T)= -f(x(t-1)).
In this paper, time delay Lienard's equations are considered, by using the theory of concidence degree, a sufficient condition of existence of at least one 2π-periodic solution is obtained.
In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the ap...In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the application of the abstract results.展开更多
We investigate sufficient conditions (theorem 1) for the non-existence of periodic solutions of ecluatlon (2. 1 ) with P = 0 and sufficient, conditions (theorem 2) for existencc of periodic solutions of equation (1. 1...We investigate sufficient conditions (theorem 1) for the non-existence of periodic solutions of ecluatlon (2. 1 ) with P = 0 and sufficient, conditions (theorem 2) for existencc of periodic solutions of equation (1. 1. 1 ).展开更多
It has been certificated that corridors can help giant pandas to keep their habitat from fragmenting. However there are still losses during the process of moving along corridors. In this study, a mathematical model wi...It has been certificated that corridors can help giant pandas to keep their habitat from fragmenting. However there are still losses during the process of moving along corridors. In this study, a mathematical model with Allee effect is carried out to describe the diffusion of giant pandas between n patches. Some criteria are obtained to keep the system persisting. It is proved that the system has a unique positive w-periodic solution which is globally asymptotically stable. The ecological meanings of these findings are discussed following the results. And some numerical simulations in the Qinling Mountain giant panda nature reservation area are also presented in the end.展开更多
文摘In this paper,a kind of high order functional differential equation is considered.By using the theory of concidence degree,a sufficient condition of existence of at least one 2π-period solution is obtained.
基金Chinese National Foundation for Natural Sciences.
文摘By discussing the zeros of periodic.solutions we give in this paper a criterion for the existence of exactly n+1 simple 4-periodic solutions of the differential delay equation x(T)= -f(x(t-1)).
文摘In this paper, time delay Lienard's equations are considered, by using the theory of concidence degree, a sufficient condition of existence of at least one 2π-periodic solution is obtained.
基金supported by National Natural Science Foundation of China(Grant Nos.11271379 and 11671406)
文摘In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the application of the abstract results.
文摘We investigate sufficient conditions (theorem 1) for the non-existence of periodic solutions of ecluatlon (2. 1 ) with P = 0 and sufficient, conditions (theorem 2) for existencc of periodic solutions of equation (1. 1. 1 ).
基金This work is supported by the National Science Foundation of China （No. Z13060）, Beijing Higher Education Young Elite Teacher Project of China （No. YETP1655）, Beijing Talents Fund （No. 2012D005017000003）, Simulation and Evaluation of Indoor Environmental Comfort Improvement （No. 2013BAJ02B0404） and Youth Foundation of Beijing University of Civil Engineering and Architecture （No. Z12082）.
文摘It has been certificated that corridors can help giant pandas to keep their habitat from fragmenting. However there are still losses during the process of moving along corridors. In this study, a mathematical model with Allee effect is carried out to describe the diffusion of giant pandas between n patches. Some criteria are obtained to keep the system persisting. It is proved that the system has a unique positive w-periodic solution which is globally asymptotically stable. The ecological meanings of these findings are discussed following the results. And some numerical simulations in the Qinling Mountain giant panda nature reservation area are also presented in the end.
