The purpose of this investigation is first to reveal some relations between certain complex (differential) equations and nonnormalized meromorphic functions and then to point some of their useful consequences out.

H&#xfc;seyin Irmak

Some Relations between Certain Complex Equations and Nonnormalized Meromorphic Functions

We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets. We examine the relations between the Hamiltonian vector fields with respect to both the odd Jacobi structure and the Loday-Poisson structure. Furthermore, we show that the Loday-Poisson bracket satisfies the Leibniz rule over the noncommutative product derived from the homological vector field.

Andrew James Bruce

Odd Jacobi Manifolds and Loday-Poisson Brackets

Zhenguo Luo

Multiple Positive Periodic Solutions for Two Kinds of Higher-Dimension Impulsive Differential Equations with Multiple  Delays and Two Parameters

A new parallel variable distribution algorithm based on interior point SSLE algorithm is proposed for solving inequality constrained optimization problems under the condition that the constraints are block-separable by the technology of sequential system of linear equation. Each iteration of this algorithm only needs to solve three systems of linear equations with the same coefficient matrix to obtain the descent direction. Furthermore, under certain conditions, the global convergence is achieved.

Zhijun Luo

Lirong Wang

A Globally Convergent Parallel SSLE Algorithm for Inequality Constrained Optimization

The self-adjoint extensions of symmetric operators satisfying anticommutation relations are considered. It is proven that an anticommutative
type of the Glimm-Jaffe-Nelson commutator theorem follows. Its application to an abstract Dirac operator is also considered.

Toshimitsu Takaesu

Essential Self-Adjointness of Anticommutative Operators

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Journal of Mathematics is a broad scope journal that publishes original research and review articles on all aspects of both pure and applied mathematics.

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Chief Editor, Professor Jen-Chih Yao, is currently based at Zhejiang Normal University in China. His current research includes dynamic programming, mathematical programming, and operations research.

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Journal of Mathematics - Table of contents 2014

title

Journal of Mathematics is a broad scope journal that publishes original research and review articles on all aspects of both pure and applied mathematics.

Journal of Mathematics