supported by the National Science Foundation of Shandong Province(ZR2009AM004)
We mainly study the existence of positive solutions for the following third order singular multi-point boundary value problem{x^(3)(t) + f(t, x(t), x′(t)) = 0, 0 〈 t 〈 1,x(0)-∑i=1^m1 αi x(ξi) = 0...
supported by the National Natural Science Foundation of China(11171262);the Specialized Research Fund for the Doctoral Program of Higher Education (200804860048)
We give a definition of relative entropy with respect to a sublinear expectation and establish large deviation principle for the empirical measures for independent random variables under the sublinear expectation.
revised September 27,2005.Research support by Natural Science Foundation of China(10271043)
Some oscillation criteria are established by Raccati transformation techniques for the following second-order nonlinear neutral difference equation △(pn(△(Xn + CnXn-τ))^γ) + qnX^Bn-σ = 0, n :0, 1, 2...wh...
In this paper, we discuss higher order sublinear functional differential equation x(n)(t)+p(t)x(v)(g(t)) =0 t greater-than-or-equal-to t0 where n greater-than-or-equal-to 2, 0