where A t for t ∈ R is a family of closed linear operators with domains D A t satisfying Acquistapace-Terreni conditions, and the function f : R × X → X is almost automorphic in t ∈ R uniformly in the second variable, was studied. For that, the author made extensive use of techniques utilized in 2 , exponential dichotomy tools, and the Schauder fixed point theorem. In this paper we study the ex...

In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a mild solution. Also the exponential p-stability of a mild solution and its sample paths are obtained.

This paper makes a study on the existence of positive solution to p-Laplacian dynamic equations on time scales T. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel’skii’s fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions b...

abstract in order to investigate density fluctuation and spatial distribution of the main aphidophagous predators and develop a fixed-precision sequential sampling plan, a weekly sweepnet sampling was conducted at five winter wheat fields in gorgan region in northern iran, during two growing seasons of 2006 and 2007. spatial distribution of the predators was described by fitting data to poisson...

Several existence theorems of twin positive solutions are established for a nonlinear m-point boundary value problem of third-order p-Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. As an application, an example to demonstrate our results is given. The obtained conditions ...

  Selecting an effective project plan is a significant area in the project management. The present paper introduces a technique to identify the project plan efficient frontier for assessing the alternative project plans and selecting the best plan. The efficient frontier includes two criteria: the project cost and the project time. Besides, the paper presents a scheme to incorporate Directed Ac...

An involution φ is given on the set of all integer partitions of n. The cardinality of the fixed point set of φ is < n and has the same parity as p(n). Moreover, φ(λ) can found in polynomial time.