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We study in this paper the first boundary value problem of one dimensional degenerate quasilinear elliptic-parabolic equation with discontinuous coefficients (layered media). The uniqueness of the weak solutions is proved under natural conditions.
We establish sufficient conditions for the existence and global attractivity of the nonnegative periodic solution of an integro-differential equation which can be taken as a generalization of a model in describing the dynamics of Nicholson's blowflies. In particular, when the coefficients of the...
A new condition for the antitonicity of the inverse of Hermitian matrices with respect to the Löwner partial ordering is derived. The basic result is established by applying directly an elementary formula for a sum of matrices.
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