... problemswith integral boundary conditions constitute a very interesting and importantclass of problems. They include two-point, three-point, multipoint and nonlocalboundary value problems ... value of the integrals, denoted bybaf (t)g(t)=baf g, is calledthe Riemann-Stieltjes Δ-integral of f with respect to g on I.The set of all functions that are Δ-integrable with respect ... 2011:42http://www.advancesindifferenceequations.com/content/2011/1/42Page 7 of 18 RESEARC H Open AccessSolvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second- order dynamic equations on time...
... is, an engine with 100% thermalefficiency. This impossibility is the basis of the following statement of The secondlawof thermodynamics.2.1 “Engine” statement of the second law: “It is impossible ... efficiency of an Otto cycle 5/6/2008 2Chapter XVIThe SecondLaw of ThermodynamicsĐ1. Reversible Carnot cyclesĐ2. The secondlawof thermodynamicsĐ3. Entropy and quantitative formulation of the second ... equivalent formulation of the second law. But we haven’thad any equation to express the law. With the help of the concept of entropy we can write an equation for the second law 3.1 Definition:Consider...
... second law. By posing the secondlaw in terms of a particu-lar physical process (adiabatic expansion), the door is opened to use any natural(irreversible) process as the basis of a secondlaw ... The SecondLaw Mystique 327References 331Color Plates 335Index 343 Challenges to the SecondLawof Thermodynamics 4 Challenges to the Second Law In this, its most primordial form, the second ... the secondlaw is Nature’s tax on the first. 10 Challenges to the Second Law Clausius’ verbal statement of the secondlaw makes no sense All thatremains is a Mosaic prohibition; a century of...
... infusing this focus with strong, negative emotions. Think of your emotions as the ―fuel‖ that lends power to everything that manifests in your life. When it comes to money, do you often find yourself ... these negative emotions. Law of Attraction Think Rich Lesson #3 How to Prevent Negative Emotions from Creating More Lack There are two things you can do to prevent these emotions from creating ... your emotions. Your emotional state emits a specific ―frequency‖ of energy to the universe, and the universe returns events and experiences into your life, that correspond with your emotional...
... using Sobolev’s lemma.The proof of Theorem 2.4 takes up most of the manuscript. The proof of (2.36) uses the symmetry and positivity of the normal operator (2.17) withinthe divergence-free class. ... (2.57)follows. THE MOTIONOF AN INCOMPRESSIBLE LIQUID113account: here, in terms of the normal operator and Lie derivatives with respectto tangential vector fields and in [CL], in terms of the second fundamentalform ... time derivative of x; see the proof of Lemma 6.7. It follows that x ∈Ck+1[0,T],C∞(Ω). THE MOTIONOF AN INCOMPRESSIBLE LIQUID115in (2.1). This defines a dieomorphism of [0,T] ì toD,...
... solution structure of the second PDZ domain of PSD-95 has been determined by NMR [21], and, quiterecently, coordinates of the PDZ2 domain of SAP102crystallized in the absence of ligand have been ... immuno-precipitates of cells transfected only with GFP-GluR-ACTDexpression plasmids. Consistent with the aboveresults, only the wild-type CTD associated with thenative SAP97 (Fig. 1B).In vitro binding of ... Coimmunoprecipitation of GluR-A CTD with SAP97. HEK293cells were transfected for expression of wild-type (‘wt’) GFP-GluR-A CTD, and mutated CTDs L907A and ‘XA908’ with (A) or without(B) N-terminally...
... after 12 weeks of treatment with tolterodine ER or placebowas correlated with improvements in patients' perception of their bladder-related problems and health-related quality of life. Correlations ... clinic without the inconvenience of a bladderdiary. The importance of measuring patients' assessment of treatment impact has been demonstrated by evidence of disparity between the opinions of ... UUI episodes, subjects' perceptions of the extent of their bladder-related problems, and HRQL compared with placebo. These results are consistent with previousreports demonstrating that...
... provided with a delay of < 32ms, strengthening the sense of immersion in the VE.Proof of concept testing methodsWe conducted a series of trials to establish the safety andviability of this ... measurements of movement duration or speed.The virtual piano trainer presents a full keyboard with acomplete range of single notes. A list of .wav files, eachhaving the sound of a single note of the ... Merians2Address: 1New Jersey Institute of Technology, Department of Biomedical Engineering Newark, NJ, USA and 2University of Medicine and Dentistry of New Jersey, Department of Rehabilitation and Movement...
... (proportion of subjects reporting fairly/very oftenoneormoreitems)andextent (number of itemsreported fairly/very often) of impacts were calculated asmeasures of OHRQoL. In terms of interpretation, ... and extent of impact (number of items reported fairly/very often) scores werecalculated as measures of OHRQoL. OHL was assessed by the cumulative REALD-30 score. The association of OHL with OHRQoL ... et al.: The relationship of oral health literacy with oral health-related quality of life in a multi-racial sampleof low-income female caregivers. Health and Quality of Life Outcomes 2011 9:108.Divaris...
... changing signs of m. The parameter r corresponds to the reciprocal of the diffusion.The existence and multiplicity of positiv e solutions of BVPs for second- order differen-tial equations with indefini ... isacharacteristicvalueofT if there exists v ẻ E, v 0, such that v =μTv,i.e.,μ-1is a nonz ero eigenvalue of T. Let r(T) denote the set of real characte risticvalues of T and Γ denote the closure of the set of ... structure of the set o f positive solutions of (1.1), (1.2), and obtain the existence of positive solutions of (1.1) and (1.2). More-over, we can also obtain the existence of negative solutions of...
... to equilibrium problems. Mathe Stud. 63, 123–145(1994)2. Ceng, LC, Mastronei, G, Yao, JC: Hybrid proximal-point methods for common solutions of equilibrium problems andzeros of maximal monotone ... 2011:91http://www.fixedpointtheoryandapplications.com/content/2011/1/91Page 11 of 11 RESEARCH Open AccessShrinking projection algorithms for equilibrium problems with a bifunction defined on the dualspace of a Banach spaceJia-wei Chen1, ... yjcho@gnu.ac.kr2Department of MathematicsEducation and the RINS,Gyeongsang National University,Chinju 660-701, Republic of KoreaFull list of author information isavailable at the end of the articleAbstractShrinking...
... University of Aeronauticsand Astronautics Nanjing, 210016,PR ChinaFull list of author information isavailable at the end of the articleAbstractThis paper deals with the periodic boundary value problems u+ ... negative parts of G.Zhong and An Boundary Value Problems 2011, 2011:8http://www.boundaryvalueproblems.com/content/2011/1/8Page 2 of 6 Remark 4. Theorem 3 contains t he partial results of [4-7] ... inKR\¯Kr, which is the positive solution of (2).Zhong and An Boundary Value Problems 2011, 2011:8http://www.boundaryvalueproblems.com/content/2011/1/8Page 5 of 6 We denoteσ =1ρ2maxt,s∈[0,T]G(t...
... existence of solutions for a system of vectorequilibrium problems, ” Journal of Optimization Theory and Applications, vol. 133, no. 2, pp. 201–212,2007.22 I. V. Konnov and J. C. Yao, “Existence of ... equilibrium problems, ”Journal of Mathematical Analysis and Applications, vol. 233, no. 1, pp. 328–335, 1999.23 L J. Lin, “System of generalized vector quasi-equilibrium problemswith applications ... quasiequilibrium problems and optimization problems, ” Journal of Global Optimization, vol. 37, pp. 195–213, 2007.25J. Li, N. J. Huang, and J. K. Kim, “On implicit vector equilibrium problems, ” Journal of...
... inclusion problems, systems of variational equations,and systems of generalized quasiequilibrium problems in LΓ-spaces. Applications of the existencetheorem of solutions for systems of generalized ... 2.12 is different with the proof of 26, Theorem 2.2. 6 Fixed Point Theory and Applications3. Existence Theorems of Solutions for Systems of GeneralizedQuasivariational Inclusion Problems Let ... no. 4, pp. 509–527, 2007.7 L J. Lin, “Systems of variational inclusion problems and differential inclusion problems with applications,” Journal of Global Optimization, vol. 44, no. 4, pp. 579–591,...