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The latest research articles published by Springer Open2014-10-30T13:40:33ZWeak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary conditionThis paper investigates the one dimensional mixed problem with nonlocal boundary conditions, for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, convergence of the weak generalized solution, and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem.
http://www.advancesindifferenceequations.com/content/2014/1/277
Irem BaglanFatma KancaAdvances in Difference Equations 2014, 2014:2772014-10-30T13:40:33Z${item.identifier}/content/figures/1687-1847-2014-277-toc.gifAdvances in Difference Equations1687-184720142772014-10-30T13:40:33ZXMLTransferrin-targeted magnetic/fluorescence micelles as a specific bi-functional nanoprobe for imaging liver tumorIn order to delineate the location of the tumor both before and during operation, we developed targeted bi-functional polymeric micelles for magnetic resonance (MR) and fluorescence imaging in liver tumors. Hydrophobic superparamagnetic iron oxide nanoparticles (SPIONs) were loaded into the polymeric micelles through self-assembly of an amphiphilic block copolymer poly(ethylene glycol)-poly(epsilon-caprolactone). After, transferrin (Tf) and near-infrared fluorescence molecule Cy5.5 were conjugated onto the surface of the polymeric micelles to obtain the nanosized probe SPIO@PEG-b-PCL-Tf/Cy5.5 (SPPTC). Imaging capabilities of this nanoprobe were evaluated both in vitro and in vivo. The accumulation of SPPTC in HepG2 cells increased over SPIO@PEG-b-PCL-Cy5.5 (SPPC) by confocal microscopy. The targeted nanoprobe SPPTC possessed favorable properties on the MR and fluorescence imaging both in vitro and in vivo. The MTT results showed that the nanoprobes were well tolerated. SPPTC had the potential for pre-operation evaluation and intra-operation navigation of tumors in clinic.
http://www.nanoscalereslett.com/content/9/1/595
Hui QiZhengzheng LiKai DuKetao MuQing ZhouShuyan LiangWenzhen ZhuXiangliang YangYanhong ZhuNanoscale Research Letters 2014, 9:5952014-10-30T00:00:00Z${item.identifier}/content/figures/1556-276X-9-595-toc.gifNanoscale Research Letters1556-276X95952014-10-30T00:00:00ZPDFSplit equality problem and multiple-sets split equality problem for quasi-nonexpansive multi-valued mappingsThe multiple-sets split equality problem (MSSEP) requires finding a point x∈⋂i=1NCi, y∈⋂j=1MQj, such that Ax=By, where N and M are positive integers, {C1,C2,…,CN} and {Q1,Q2,…,QM} are closed convex subsets of Hilbert spaces H1, H2, respectively, and A:H1→H3, B:H2→H3 are two bounded linear operators. When N=M=1, the MSSEP is called the split equality problem (SEP). If let B=I, then the MSSEP and SEP reduce to the well-known multiple-sets split feasibility problem (MSSFP) and split feasibility problem (SFP), respectively. Recently, some authors proposed many algorithms to solve the SEP and MSSEP. However, to implement these algorithms, one has to find the projection on the closed convex sets, which is not possible except in simple cases. One of the purposes of this paper is to study the SEP and MSSEP for a family of quasi-nonexpansive multi-valued mappings in the framework of infinite-dimensional Hilbert spaces, and propose an algorithm to solve the SEP and MSSEP without the need to compute the projection on the closed convex sets.
http://www.journalofinequalitiesandapplications.com/content/2014/1/428
Yujing WuRudong ChenLuo ShiJournal of Inequalities and Applications 2014, 2014:4282014-10-30T11:45:18Z${item.identifier}/content/figures/1029-242X-2014-428-toc.gifJournal of Inequalities and Applications1029-242X20144282014-10-30T11:45:18ZXMLThree solutions for equations involving nonhomogeneous operators of p-Laplace type in RNIn this paper, we are concerned with the following elliptic equation−div(φ(x,∇u))=λf(x,u)in RN,where the function φ(x,v) is of type |v|p−2v and f:RN×R→R satisfies a Carathéodory condition. We establish the existence of at least three weak solutions for the problem above which is based on an abstract three critical points theory due to Ricceri. Moreover, we determine precisely the intervals of λ’s for which the given problem possesses either only the trivial solution or at least two nontrivial solutions.MSC:
35D30, 35D50, 35J15, 35J60, 35J62.
http://www.journalofinequalitiesandapplications.com/content/2014/1/427
Eun ChoiYun-Ho KimJournal of Inequalities and Applications 2014, 2014:4272014-10-30T11:40:15Z${item.identifier}/content/figures/1029-242X-2014-427-toc.gifJournal of Inequalities and Applications1029-242X20144272014-10-30T11:40:15ZXMLA Multi-hop Broadcast Protocol Design for Emergency Warning Notification in Highway VANETsMulti-hop broadcast transmission is used in vehicular ad hoc networks (VANETs) to alert allvehicles within a geographical area of an emergency situation. However, the successfuldissemination of multi-hop warning messages beyond the transmission range of a vehicle faces threemajor issues: (i) the broadcast storm, (ii) the severe interference with the existing periodic single-hopsafety messages, and (iii) the hidden nodes. In this paper, we propose an efficient time-slottedmulti-hop broadcast protocol that significantly reduces the number of required transmissions, whileensuring a timely and successful delivery of the warning messages. To alleviate the broadcast stormproblem, we select only a subset of vehicles on the road to serve as the potential relay nodes. Each ofthese `segment leaders¿ is responsible for forwarding the warning messages arrived in its own roadsegment. To avoid interfering with the safety messages transmitted periodically, we propose toallocate separate time slots for the warning messages. We also devise a signaling mechanism thatensures the reliable delivery of these multi-hop messages. Simulation results confirm that thedeveloped protocol substantially outperforms existing schemes in terms of the number of requiredmulti-hop transmissions and the dissemination delay. At the same time, the proposed solutionmaintains a high reception rate and low end-to-end delay for the single-hop safety messages.
http://jwcn.eurasipjournals.com/content/2014/1/179
Muhammad Awais JavedDuy Trong NgoJamil Yusuf KhanEURASIP Journal on Wireless Communications and Networking 2014, 2014:1792014-10-30T00:00:00Z${item.identifier}/content/figures/1687-1499-2014-179-toc.gifEURASIP Journal on Wireless Communications and Networking1687-149920141792014-10-30T00:00:00ZPDFHybrid extragradient method for hierarchical variational inequalitiesIn this paper, we consider a hierarchical variational inequality problem (HVIP) defined over a common set of solutions of finitely many generalized mixed equilibrium problems, finitely many variational inclusions, a general system of variational inequalities, and the fixed point problem of a strictly pseudocontractive mapping. By combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method and Mann’s iteration method, we introduce and analyze a multistep hybrid extragradient algorithm for finding a solution of our HVIP. It is proven that under appropriate assumptions, the proposed algorithm converges strongly to a solution of a general system of variational inequalities defined over a common set of solutions of finitely many generalized mixed equilibrium problems (GMEPs), finitely many variational inclusions, and the fixed point problem of a strictly pseudocontractive mapping. In the meantime, we also prove the strong convergence of the proposed algorithm to a unique solution of our HVIP. The results obtained in this paper improve and extend the corresponding results announced by many others.MSC:
49J30, 47H09, 47J20.
http://www.fixedpointtheoryandapplications.com/content/2014/1/222
Lu-Chuan CengAbdul LatifQamrul AnsariJen-Chih YaoFixed Point Theory and Applications 2014, 2014:2222014-10-30T10:53:10Z${item.identifier}/content/figures/1687-1812-2014-222-toc.gifFixed Point Theory and Applications1687-181220142222014-10-30T10:53:10ZXMLFixed point theory in partial metric spaces via φ-fixed point’s concept in metric spacesLet X be a non-empty set. We say that an element x∈X is a φ-fixed point of T, where φ:X→[0,∞) and T:X→X, if x is a fixed point of T and φ(x)=0. In this paper, we establish some existence results of φ-fixed points for various classes of operators in the case, where X is endowed with a metric d. The obtained results are used to deduce some fixed point theorems in the case where X is endowed with a partial metric p.MSC:
54H25, 47H10.
http://www.journalofinequalitiesandapplications.com/content/2014/1/426
Mohamed JleliBessem SametCalogero VetroJournal of Inequalities and Applications 2014, 2014:4262014-10-30T10:48:43Z${item.identifier}/content/figures/1029-242X-2014-426-toc.gifJournal of Inequalities and Applications1029-242X20144262014-10-30T10:48:43ZXMLQoS-aware resource management for LTE-Advanced relay-enhanced networkRelaying is one of the major innovative concepts proposed in the recent years for cellular radio communication systems. It is a perfect solution for dealing with the issue of high variability of performance in cellular networks. By coordinated deployment at cell-edge or in shadowed areas, relay nodes can extend network coverage and increase the low end-user performance. Considering the advantages, relaying is recently being included in the standards of the fourth generation systems such as the LTE-Advanced and the WiMAX. However, one major problem of relaying is still to be resolved. Specifically, there are no concrete concepts for quality-of-service provisioning for relayed transmissions. This paper investigates the case of packet delivery times over multi-hop links in relay-enhanced networks. The discussion is specifically based on relaying implementation in the LTE-Advanced system. The quality-of-service satisfaction and its fairness for the base station and relay-node-connected users are analyzed in the framework of the utility theory. For the purpose of this analysis, utility functions are proposed for real-time traffic with minimum data rate and/or maximum packet delivery time requirements. Furthermore, several optimization concepts are proposed for managing multi-hop transmissions in a quality-of-service aware manner. The included analysis based on the LTE-Advanced system level simulations shows that the proposed optimizations have the potential to improve the overall quality-of-service satisfaction in a relay-enhanced system.
http://jwcn.eurasipjournals.com/content/2014/1/178
Jacek GóraEURASIP Journal on Wireless Communications and Networking 2014, 2014:1782014-10-29T00:00:00Z${item.identifier}/content/figures/1687-1499-2014-178-toc.gifEURASIP Journal on Wireless Communications and Networking1687-149920141782014-10-29T00:00:00ZPDFHybrid morphology dependence of CdTe:CdSe bulk-heterojunction solar cellsA nanocrystal thin-film solar cell operating on an exciton splitting pattern requires a highly efficient separation of electron-hole pairs and transportation of separated charges. A hybrid bulk-heterojunction (HBH) nanostructure providing a large contact area and interpenetrated charge channels is favorable to an inorganic nanocrystal solar cell with high performance. For this freshly appeared structure, here in this work, we have firstly explored the influence of hybrid morphology on the photovoltaic performance of CdTe:CdSe bulk-heterojunction solar cells with variation in CdSe nanoparticle morphology. Quantum dot (QD) or nanotetrapod (NT)-shaped CdSe nanocrystals have been employed together with CdTe NTs to construct different hybrid structures. The solar cells with the two different hybrid active layers show obvious difference in photovoltaic performance. The hybrid structure with densely packed and continuously interpenetrated two phases generates superior morphological and electrical properties for more efficient inorganic bulk-heterojunction solar cells, which could be readily realized in the NTs:QDs hybrid. This proved strategy is applicable and promising in designing other highly efficient inorganic hybrid solar cells.
http://www.nanoscalereslett.com/content/9/1/593
Furui TanShengchun QuWeifeng ZhangZhanguo WangNanoscale Research Letters 2014, 9:5932014-10-29T00:00:00Z${item.identifier}/content/figures/1556-276X-9-593-toc.gifNanoscale Research Letters1556-276X95932014-10-29T00:00:00ZPDFFixed points and orbits of non-convolution operatorsA continuous linear operator T on a Fréchet space F is hypercyclic if there exists a vector f∈F (which is called hypercyclic for T) such that the orbit {Tnf:n∈N} is dense in F. A subset M of a vector space F is spaceable if M∪{0} contains an infinite-dimensional closed vector space. In this paper note we study the orbits of the operators Tλ,bf=f′(λz+b) (λ,b∈C) defined on the space of entire functions and introduced by Aron and Markose (J. Korean Math. Soc. 41(1):65-76, 2004). We complete the results in Aron and Markose (J. Korean Math. Soc. 41(1):65-76, 2004), characterizing when Tλ,b is hypercyclic on H(C). We characterize also when the set of hypercyclic vectors for Tλ,b is spaceable. The fixed point of the map z→λz+b (in the case λ≠1) plays a central role in the proofs.
http://www.fixedpointtheoryandapplications.com/content/2014/1/221
Fernando León-SaavedraPilar Romero-de la RosaFixed Point Theory and Applications 2014, 2014:2212014-10-29T15:55:02Z${item.identifier}/content/figures/1687-1812-2014-221-toc.gifFixed Point Theory and Applications1687-181220142212014-10-29T15:55:02ZXML