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Physical Sciences and Mathematics Commons™
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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions, Alfredo Janson, Bibi Juman
Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions, Alfredo Janson, Bibi Juman
Mathematics Colloquium Series
Janson’s and Juman’s research involves differentiating solutions of boundary value problems with integral conditions, as well as showing that the resulting functions solve an associated boundary value problem—called the variational equation—with new integral boundary values.
Disconjugacy And Differentiation For Solutions Of Boundary Value Problems For Second-Order Dynamic Equations On A Time Scale, Jeffrey W. Lyons
Disconjugacy And Differentiation For Solutions Of Boundary Value Problems For Second-Order Dynamic Equations On A Time Scale, Jeffrey W. Lyons
Mathematics Colloquium Series
On the specific time scale—given as integer multiples of a fixed, positive real number h—and under certain conditions, solutions of a nonlinear second-order dynamic equation with conjugate boundary conditions are differentiated with respect to the boundary values and delta differentiated with respect to the boundary points. Lyons will also present two corollaries of the result.
Fractional Calculus And Smallest Eigenvalues, Jeffrey T. Neugebauer
Fractional Calculus And Smallest Eigenvalues, Jeffrey T. Neugebauer
Mathematics Colloquium Series
This talk will introduce the subject of fractional calculus, which involves taking integrals and derivatives of arbitrary order. Neugebauer will show how the definitions of fractional derivatives and fractional integrals are natural extensions of the definitions of the derivative and the integral. In addition to showing some examples, Neugebauer will explore ongoing research on the comparison of smallest eigenvalues of a fractional-boundary-value problem with conjugate boundary conditions.