We study positive solutions to the boundary value problem $$ \displaylines{ -\Delta_p u - \Delta_q = \lambda f(u) \quad \text{in } \Omega, \cr 0 \text{on \partial\Omega, }$$ where \(q \in (1,p)\) and Ω is a bounded domain in \(\mathbb{R}^N\), \(N>1\) with smooth boundary, \(\lambda\) parameter, \(f:[0,\infty) \to (0,\infty)\) \(C_1\), nondecreasing, p-sublinear at infinity i.e. \(\...

‎The present paper is devoted to the existence and uniqueness result of the fractional evolution equation $D^{q}_c u(t)=g(t,u(t))=Au(t)+f(t)$‎ ‎for the real $qin (0,1)$ with the initial value $u(0)=u_{0}intilde{R}$‎, ‎where $tilde{R}$ is the set of all generalized real numbers and $A$ is an operator defined from $mathcal G$ into itself‎. Here the Caputo fractional derivative $D^{q}_c$ is used i...

Based on the calculated electric field gradient (q) from ab initio Cl wavefunctions with large basis set (including / functions on N and d functions on H) and the experimental nuclear quadrupole coupling constant (e Q q) for nitrogen in N H 3, an improved value o f the quadrupole moment o f l4N is proposed as Q ('4N ) = 2.08 x 10~ 26 cm2. The value calculated using a wavefunction near the Hartr...

Cognitive radio (CR) technology is rapidly developing these days due to its capability of adaptive learning and reconfiguration. Thus, using Cognitive Radio Networks (CRNs) spectrum efficiency can be increased by allowing the secondary users (SUs) to access the licensed band dynamically and opportunistically without interfering the primary users (PUs). Daniel H. and Ryan W. Thomas, define the C...

We discuss the model ᾱan(Q ) recently proposed for the QCD running coupling ᾱs(Q ) in the Euclidean domain on the basis of the “asymptotic–freedom” expression and on causality condition in the form of the Q-analyticity. The model contains no adjustable parameters and obeys the important features: (i) Finite ghost-free behavior in the “low Q” region and correspondence with the standard RG-summed...

A microwave photonic filter with the highest reported quality factor (Q) value of 4895.31 is proposed and experimentally demonstrated by using two cascaded infinite impulse response (IIR) filters. Each IIR filter comprises both optical and electronic signals in a feedback loop and thus the loop length can be reduced without the need to consider the light coherence length. The Vernier effect ena...

PURPOSE Q-angle measurement procedure have not been well standardised. There is a lack of consensus about subject position and knee flexion angle while measuring the Q-angle. Morover Q-angle value which obtained in a single position is a static value and gives an information about the subject's current position. The aim of this study is to obtain a more significant parameter which includes diff...

vspace{0.2cm}In this paper, we design a data structure for the following problem. Let $pi$ be an $x$-monotone trajectory with $n$ vertices in the plane and $epsilon >0$. We show how to preprocess $pi$ and $epsilon$ into a data structure such that for any horizontal query segment $Q$ in the plane, one can quickly determine the minimal continuous fraction of $pi$ whose Fr{'e}chet and Hausdo...