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RESEARCH PRODUCT

Explicit solutions for second-order operator differential equations with two boundary-value conditions. II

Lucas Jódar

subject

Numerical AnalysisAlgebra and Number TheoryMathematical analysisSemi-elliptic operatorp-LaplacianOrder operatorDiscrete Mathematics and CombinatoricsBoundary value problemGeometry and TopologyC0-semigroupDifferential algebraic geometryTrace operatorNumerical partial differential equationsMathematics

description

AbstractBoundary-value problems for second-order operator differential equations with two boundary-value conditions are studied for the case where the companion operator is similar to a block-diagonal operator. This case is strictly more general than the one treated in an earlier paper, and it provides explicit closed-form solutions of boundary-value problem in terms of data without increasing the dimension of the problem.

10.1016/0024-3795(92)90278-ihttp://dx.doi.org/10.1016/0024-3795(92)90278-i