Cone theory is applied to a class of two point boundary value problems for ordinary differential equations. Criteria for the existence of extremal points are obtained. These criteria are in terms of the existence of nontrivial solutions that lie in a cone, and in terms of the spectral radius of an associated compact linear operator.
机构:
UNIV WALES UNIV COLL WALES,DEPT PURE MATH,ABERYSTWYTH SY23 1NE,DYFED,WALESUNIV WALES UNIV COLL WALES,DEPT PURE MATH,ABERYSTWYTH SY23 1NE,DYFED,WALES
HASSAN, HS
LLOYD, NG
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UNIV WALES UNIV COLL WALES,DEPT PURE MATH,ABERYSTWYTH SY23 1NE,DYFED,WALESUNIV WALES UNIV COLL WALES,DEPT PURE MATH,ABERYSTWYTH SY23 1NE,DYFED,WALES