European Research Library

New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials
Jingzhe Wang
The main purpose of this paper is using the generating function methods and some combinatorial

Symmetric identities for Carlitz's $q$-Bernoulli numbers and polynomials
Yuan He
In this paper, a further investigation for the Carlitz's $q$-Bernoulli numbers and $q$-Bernoulli polynomials is

The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials
Akos Pinter, Szabolcs Tengely
Some diophantine equations related to the soliton solutions of the Korteweg-de Vries equation are resolved.

Solvability of a nonlocal boundary value problem for linear functional differential equations
Zdenek Oplustil
In the paper, the problem on the existence and uniqueness of a solution to the

Existence and uniqueness of wave fronts in neuronal network with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections
Lijun Zhang
An integral-di erential model equation arising from neuronal net-works with both axonal connections and delayed

Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems
Xianhua Tang, Jing Chen
In the present paper, we deal with the existence of infinitely many homoclinic solutions for

Delay-dependent optimal guaranteed cost control of stochastic neural networks with interval nondifferentiable time-varying delays
Grienggrai Rajchakit
This paper studies the problem of guaranteed cost control for a class of stochastic delayed

On the Smarandache-Pascal derived sequences and some of their conjectures
Xiaoxue Li, Di Han
For any sequence $\{b_n\}$, the Smarandache-Pascal derived sequence $\{T_n\}$ of $\{b_n\}$ is defined as $\

On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations
Kelong Zheng, Hong Wang, Chunxiang Guo
Some nonlinear discrete weakly singular integral inequalities which generalize some known results are discussed. Under

Existence of multiple positive solutions for $p$-Laplacian multipoint boundary value problems on time scales
Abdulkadir Dogan
In this paper, we consider $p$-Laplacian multipoint boundary value problems on time scales. By using

Factorization of the linear differential operator
K. R. Janglajew, K. G. Valeev
The paper deals with the problem of factorization of a linear differential operator with matrix

Determinants of the Lapacians on the $n$-dimensional unit sphere $\textbf{S}^n$
Junesang Choi
During the last three decades, the problem of evaluation of the determinants of the Laplacians

Production of 2,3-butanediol from cellulose and Jatropha hulls after ionic liquid pretreatment and dilute-acid hydrolysis
Li-qun Jiang, Zhen Fang, Xing-Kang Li, Jia Luo
Abundant Jatropha waste is a promising renewable feedstock for the production of sugars and 2,3-butanediol

Cellulolytic potential of thermophilic species from four fungal orders
Peter Kamp Busk, Lene Lange
Elucidation of fungal biomass degradation is important for understanding the turnover of biological materials in

Changes and recovery of soil bacterial communities influenced by biological soil disinfestation as compared with chloropicrin-treatment
Subrata Mowlick, Takashi Inoue, Toshiaki Takehara, Nobuo Kaku, Katsuji Ueki, Atsuko Ueki
Soil bacterial composition, as influenced by biological soil disinfestation (BSD) associated with biomass incorporation was