In this paper, we study Robin boundary vlaue problem for third order equation εx'' = f(t, x, x', ω(ε)x', ε), x(0) = A, a1x'(0) - a2x'(0) = B, b1x'(1) +b2x'(1) = C. By means of upper...In this paper, we study Robin boundary vlaue problem for third order equation εx'' = f(t, x, x', ω(ε)x', ε), x(0) = A, a1x'(0) - a2x'(0) = B, b1x'(1) +b2x'(1) = C. By means of upper and lower solutions method, and the existenceand asymptotic estimation of solution are established.展开更多
In this paper, we are concerned with the existence and uniqueness of global smooth solu- tion for the Robin boundary value problem of Landau Lifshitz equations in one dimension when the boundary value depends on time ...In this paper, we are concerned with the existence and uniqueness of global smooth solu- tion for the Robin boundary value problem of Landau Lifshitz equations in one dimension when the boundary value depends on time t. Yhrthermore, by viscosity vanishing approach, we get the existence and uniqueness of the problem without Gilbert damping term when the boundary value is independent of t.展开更多
The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear thirdorder Robin boundary value problem with a turning point. In orde...The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear thirdorder Robin boundary value problem with a turning point. In order to achieve this aim, existence and uniqueness of the solution for third-order nonlinear Robin boundary value problem is derived first based on the upper and lower solutions method under relatively weaker conditions. In this manner, the goal of this paper is gained by applying the existence and uniqueness results mentioned above.展开更多
Under some weaker conditions,we prove the existence of at least two solutions to an asymptotically linear elliptic problem with Robin boundary value condition,using truncation arguments.Our results are also valid for ...Under some weaker conditions,we prove the existence of at least two solutions to an asymptotically linear elliptic problem with Robin boundary value condition,using truncation arguments.Our results are also valid for the case of the so-called resonance at infinity.展开更多
文摘In this paper, we study Robin boundary vlaue problem for third order equation εx'' = f(t, x, x', ω(ε)x', ε), x(0) = A, a1x'(0) - a2x'(0) = B, b1x'(1) +b2x'(1) = C. By means of upper and lower solutions method, and the existenceand asymptotic estimation of solution are established.
基金Supported by National Basic Research Program of China (973 Program) (Grant No. 2011CB808002)National Natural Science Foundation of China (Grant Nos. 11071086 and 11128102)the University Special Re-search Foundation for Ph.D. Program (Grant No. 20104407110002)
文摘In this paper, we are concerned with the existence and uniqueness of global smooth solu- tion for the Robin boundary value problem of Landau Lifshitz equations in one dimension when the boundary value depends on time t. Yhrthermore, by viscosity vanishing approach, we get the existence and uniqueness of the problem without Gilbert damping term when the boundary value is independent of t.
基金Natural Science Foundation of Fujian Province under grant No.S0650010the Foundation of the Education Department of Fujian Province (JB06098).
文摘The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear thirdorder Robin boundary value problem with a turning point. In order to achieve this aim, existence and uniqueness of the solution for third-order nonlinear Robin boundary value problem is derived first based on the upper and lower solutions method under relatively weaker conditions. In this manner, the goal of this paper is gained by applying the existence and uniqueness results mentioned above.
基金Supported by the National Natural Science Foundation of China (1072600311001151)+2 种基金the Natural Science Foundation of Shandong (Q2008A03)the Science Foundation of China Postdoctoral (201000481301)the Science Foundation of Shandong Postdoctoral
文摘Under some weaker conditions,we prove the existence of at least two solutions to an asymptotically linear elliptic problem with Robin boundary value condition,using truncation arguments.Our results are also valid for the case of the so-called resonance at infinity.
