Existence of monotone positive solutions for semipositone right focal boundary value problems with dependence on the derivatives
MetadataShow full item record
We study the existence of monotone positive solutions for the semipositone right focal boundary value problems [Formula is presented], where ? > 0 is a parameter, n = 3, 1 < k = n-1 is fixed, f may change sign for 0 < t < 1 and we allow f is both semipositone and lower unbounded. Without making any monotone type assumption, the existence results of at least one and two monotone positive solutions are obtained by means of the fixed point theorems in cones.
Showing items related by title, author, creator and subject.
Garone, E.; Ntogramatzidis, Lorenzo (2015)This paper addresses the problem of achieving monotonic tracking control for any initial condition (also referred to as global monotonic tracking control). This property is shown to be equivalent to global non-overshooting ...
Garone, Emanuele; Ntogramatzidis, Lorenzo; Ferrante, Augusto (2016)In this paper we consider the problem of achieving monotonic tracking control for multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems, from any initial condition. First, we show that this property ...
Existence of Monotone Positive Solutions for semipositone right focal boundary value problems with dependence on the derivativesHao, X.; Liu, L.; Wu, Yong Hong (2012)We study the existence of monotone positive solutions for the semipositone right focal boundary value problems ⎧⎪⎪⎨ ⎪⎪⎩ (−1)(n−k)u(n)(t) = λf(t, u(t), u (t), . . . , u(k−1)(t)), t∈ (0, 1), u(i)(0) = 0, 0 ≤ i ≤ k − ...