排序方式: 共有39条查询结果,搜索用时 15 毫秒
1.
We obtain results of existence and multiplicity of solutions for the second-order equation x″+q(t)g(x)=0, with x(t) defined for all t∈]0,1[ and such that x(t)→+∞ as t→0+ and t→1−. We assume g having superlinear growth at infinity and q(t) possibly changing sign on [0,1]. 相似文献
2.
Fabio Zanolin 《Results in Mathematics》1992,21(1-2):224-250
We prove the existence of periodic solutions in a compact attractor of (R+)n for the Kolmogorov system x′i = xifi(t, x1, …, xn), i = l, …, n in the competitive case. Extension to differential delay equations are con- sidered too. Applications are given to Lotka-Volterra systems with periodic coefficients. 相似文献
3.
4.
We provide necessary and sufficient conditions for the existence of T-periodic solutions of a system of second-order ordinary differential equations that models the motion of two or three collinear charged particles of the same sign. 相似文献
5.
6.
By using a topological approach and the relation between rotation numbers and weighted eigenvalues, we give some multiplicity
results for the boundary value problem u′′ + f(t, u) = 0, u(0) = u(T) = 0, under suitable assumptions on f(t, x)/x at zero and infinity. Solutions are characterized by their nodal properties.
Supported by MIUR, GNAMPA and FCT. 相似文献
7.
Anna Capietto Jean Mawhin Fabio Zanolin 《NoDEA : Nonlinear Differential Equations and Applications》1995,2(2):133-163
We prove a continuation theorem for the solvability of the coincidence equationLx=Nx in normed spaces. Applications are given to the periodic boundary value problem for second order ordinary differential equations. Dealing, in particular, with the periodically forced Duffing equation
相似文献
8.
Motivated by some recent studies on the Allen–Cahn phase transition model with a periodic nonautonomous term, we prove the existence of complex dynamics for the second order equation 相似文献
$$\begin{aligned} -\ddot{x} + \left( 1 + \varepsilon ^{-1} A(t)\right) G'(x) = 0, \end{aligned}$$ 9.
Lakshmi Burra Fabio Zanolin 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(3-4):1462-1476
Using elementary phase-plane analysis, combined with results from the theory of topological horseshoes and linked twist maps, we prove the presence of chaos-like dynamics for a vertically driven planar pendulum and other, more general, related equations. 相似文献
10.
|