In this article, we investigate the existence of positive solutions for second-order m-point boundary-value problems at resonance on the half-line (q(t) x'(t))' = f(t, x(t), x'(t)), a.e. in (0, infinity), x(0) = Sigma(m-2)(i-1)alpha(i)x(xi(i)), lim(t ->infinity) q(t) x'(t) = 0. Some existence results are obtained by using the Mawhin's coincidence theory.
机构:
Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R ChinaHunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
Li, Jianli
Liu, Sanhui
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机构:
Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
Zhuzhou Profess Technol Coll, Dept Math, Zhuzhou 412000, Hunan, Peoples R ChinaHunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China