Existence and uniqueness of solutions to systems of delay dynamic equations on time scales

The purpose of this paper is to establish Picard-Lindel\"{o}f theorem for local uniqueness and existence results for first-order systems of nonlinear delay dynamic equations. In the linear case, we extend our results to global existence and uniqueness of solutions on the entire interval (allowed to be unbounded above), and prove the variation of parameters formula for the unique solution in terms of the principal solution. A simple example concerning the ordinary case is also provided.Comment: 15 page

On uniqueness of the Laplace transform on time scales

After introducing the concept of null functions, we shall present a uniqueness result in the sense of the null functions for the Laplace transform on time scales with arbitrary graininess. The result can be regarded as a dynamic extension of the well-known Lerch's theorem

Trabzon'un Çaykara İlçesi Köylerinde Bulunan Bazı Camiler

[No Abstract Available

Erzurum Kümbet Köyü'nde Yer Alan İki Yapı

[No Abstract Available

Bavyera Devlet Kütüphanesi, Münih

This paper describes the foundation and development of the Baverian State Library. The main collections, digitalization projects, technical and user services are explained in detail

Oscillation and stability of first-order delay differential equations with retarded impulses

In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves delay. The results obtained in the present paper improve and generalize the main results of the key references in this subject. An illustrative example is also provided

Giresun'un Espiye İlçesine Bağlı Tekke Köyündeki Gülbahar Hatun "Hacı Abdullah" Zaviyesine Bağlı Yapılar

[No Abstract Available

Nonoscillation of First-Order Dynamic Equations with Several Delays

Uploaded according to publisher policy posted on Sherpa/RoMEO, November 16, 2011.YesFunding provided by the Open Access Authors Fund