“…Therefore it is bounded on J and there is a constant K 1 > 0 such that z ≤ K 1 . The explicit form of the function z of (3.3) is given in Heikkila et al [21]. Similarly, the Green's function G(t, s) involved in (3.3) is a continuous real-valued function on J × J and so there is a constant…”
This paper presents sufficient conditions for the existence of solutions to boundary-value problems of second order multi-valued differential inclusions. The existence of extremal solutions is also obtained under certain monotonicity conditions.
“…Therefore it is bounded on J and there is a constant K 1 > 0 such that z ≤ K 1 . The explicit form of the function z of (3.3) is given in Heikkila et al [21]. Similarly, the Green's function G(t, s) involved in (3.3) is a continuous real-valued function on J × J and so there is a constant…”
This paper presents sufficient conditions for the existence of solutions to boundary-value problems of second order multi-valued differential inclusions. The existence of extremal solutions is also obtained under certain monotonicity conditions.
“…Hutson [5], S. Heikkila, J.W. Hooney and S. Seikkala [4] and others have examined the existenoe, uniqueness and comparison results for oertain nonlinear BVP for functional differential equations. Solutions of degenerate BYP for differential equations were dealt with by T. Jonsson [6]» The present paper generalises the results of papers [2] and [6].…”
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