The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u'''(t) + q(t)f(t,u(t),u'(t)) = 0,0 < t < 1,u(0) = u''(0) = u'(1) = 0 ...The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u'''(t) + q(t)f(t,u(t),u'(t)) = 0,0 < t < 1,u(0) = u''(0) = u'(1) = 0 is studied.The iterative schemes for approximating the solutions are obtained by applying a monotone iterative method.展开更多
In this paper, the existence of chaotic behavior in the single-well Duffing Oscillator was examined under parametric excitations using Melnikov method and Lyapunov exponents. The minimum and maximum values were obtain...In this paper, the existence of chaotic behavior in the single-well Duffing Oscillator was examined under parametric excitations using Melnikov method and Lyapunov exponents. The minimum and maximum values were obtained and the dynamical behaviors showed the intersections of manifold which was illustrated using the MATCAD software. This extends some results in the literature. Simulation results indicate that the single-well oscillator is sensitive to sinusoidal signals in high frequency cases and with high damping factor, the amplitude of the oscillator was reduced.展开更多
Some results of existence of positive solutions for singular boundary value problems{-u″(t) = p(t)f(u(t)), t ∈ (0, 1),u(0) = u(1) = 0are given, where the function p(t) may be singular at t = 0,1.
Some results concerning existence of positive solutions for the singular boundary value problems u^(4)(t)=f(t,u(t)) t∈（0,1) u(0)=u(1)=0 u'(0)=u'(1)=0 have been given, where f(t, x) may be singular at t = 0, 1.
In this paper, out main purpose is to establish the existence of nonnegative solu-tions for a class quasilinear ordinary differential equation by modifying the method ofAnuradha et al. [4]. The main results in present...In this paper, out main purpose is to establish the existence of nonnegative solu-tions for a class quasilinear ordinary differential equation by modifying the method ofAnuradha et al. [4]. The main results in present paper are new and extend the resultsof the [4].展开更多
基金Supported by the Natural Science Foundation of Zhejiang Province (Y605144)the XNF of Zhejiang University of Media and Communications (XN080012008034)
文摘The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u'''(t) + q(t)f(t,u(t),u'(t)) = 0,0 < t < 1,u(0) = u''(0) = u'(1) = 0 is studied.The iterative schemes for approximating the solutions are obtained by applying a monotone iterative method.
文摘In this paper, the existence of chaotic behavior in the single-well Duffing Oscillator was examined under parametric excitations using Melnikov method and Lyapunov exponents. The minimum and maximum values were obtained and the dynamical behaviors showed the intersections of manifold which was illustrated using the MATCAD software. This extends some results in the literature. Simulation results indicate that the single-well oscillator is sensitive to sinusoidal signals in high frequency cases and with high damping factor, the amplitude of the oscillator was reduced.
基金Project supported by the 973 Project of the Ministry of Science and Technology of China (No.G1999075109)
文摘Some results of existence of positive solutions for singular boundary value problems{-u″(t) = p(t)f(u(t)), t ∈ (0, 1),u(0) = u(1) = 0are given, where the function p(t) may be singular at t = 0,1.
文摘Some results concerning existence of positive solutions for the singular boundary value problems u^(4)(t)=f(t,u(t)) t∈（0,1) u(0)=u(1)=0 u'(0)=u'(1)=0 have been given, where f(t, x) may be singular at t = 0, 1.
基金Supported by Natural Science Foundations of the Committee on Science and Technology of HenanProvince(984050400).
文摘In this paper, out main purpose is to establish the existence of nonnegative solu-tions for a class quasilinear ordinary differential equation by modifying the method ofAnuradha et al. [4]. The main results in present paper are new and extend the resultsof the [4].
