... operator F also satisfies the other required assumptions Similar considerations can be done for the p-Laplacian operator too, using Theorem 2.5 Author details Dipartimento di Matematica - Università ... the proof proceeds in the same way □ In the particular case of p-Laplacian operators, one can use the positive homogeneity for weakening assumption (2.17) of Theorem 2.4 and widening the class ... contributions The authors wrote this article in collaboration and with same responsibility All authors read and approved the final manuscript Competing interests The authors declare that they have no...
... Boundary Value Problems 3 The Asymptotic Formulas of Eigenvalues It follows from the classical investigations see 4, page 65 that the eigenvalues oftheproblem 1.1 , 1.2 in 0, consist ofthe ... 2 BoundaryValue Problems using the obtained asymptotic formulas for eigenvalues and eigenfunctions, the basis properties ofthe root functions ofthe operators were investigated The paper is ... fundamental solutions of 1.1 andthe asymptotic formulas for eigenvalues ofthe boundary- valueproblem 1.1 , 1.2 up to order O s 5 , the following result is valid 6 BoundaryValue Problems Theorem...
... spatial periodic solutions of both the EFK equation andthe SH equation was studied by Peletier and Troy , Peletier and Rottsch¨ fer a , Tersian and Chaparova , and other authors More precisely, ... “Positive solutions of fourth-order boundaryvalue problems with two parameters,” Journal of Mathematical Analysis and Applications, vol 281, no 2, pp 477–484, 2003 S Fan, The new root formula ... pp 225–230, 2003 e e S Tersian and J Chaparova, “Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations,” Journal of Mathematical Analysis and Applications, vol 260, no 2, pp...
... notably in the area of accidents and injuries as well as other contexts With systematic maintenance andthe acquisition of new data, the system will enable afirst assessment to be made ofthe ... Belarus Armenia Bulgaria Russian Federation Bosnia and Herzegovina R U Albania Croatia Lithuania Estonia Latvia Slovakia Finland Czech Republic Austria Switzerland Netherlands Rural Urban Sweden ... the quality ofthe information and assessments Part II ofthe report summarizes basic information about the present system and planned future developments PART I ASSESSMENT OFTHE SITUATION AND...
... nonlinear partial differential equations, Mathematical Surveys and Monographs, vol 49, American Mathematical Society, Rhode Island, 1997 N M Stavrakakis and N B Zographopoulos, Bifurcation results ... properties ofthe principal eigenvalue are stronger than in the scalar equation case; for example the principal eigenvalueofthe system is the only eigenvalue which admits a nonnegative eigenfunction ... Education at the University ofthe Aegean under the Project EPEAEK II-PYTHAGORAS with title “Theoretical and Numerical Study of Evolutionary and Stationary PDEs Arising as Mathematical Models in...
... satisfies B = AA AA , and so the eigenvalues of B are those of AA⊤ ⊤ together with those ofAA Using the SVD for A we see that AA⊤ has the m eigenvalues 2 2 σ1 , , σr , 0, 0, andAA ... elements of −1 The trace of (Λ2 A) ⊤ (Λ2 A) 2 is the sum of squares ofthe singular values of Λ2 A, which equals (σ1 (Λ2 A) )2 = σ1 σ2 in our case This trace also equals the sum of squares ofthe ... andAA has the n eigenvalues σ1 , , σr , 0, 0, The eigenvalues of B are therefore square roots of these numbers, and by the symmetry ofthe spectrum of B, the eigenvalues of B are the m +...
... Yokota et al Sato A, Sasakura Y, Sugiyama S, Sagami I, Shimizu T, Mizutani Y & Kitagawa T (2002) Stationary and timeresolved resonance Raman spectra of His77 and Met95 mutants ofthe isolated ... microseconds, and 200 ls after a flash are selected, and those ofthe slow phase (blue) obtained 0.2 ms, every few milliseconds and 80 ms after a flash are selected Arrows designate spectral changes ... mutants of Ec DOS N Yokota et al Fig Partial sequences of amino acids ofthe PAS domains of Ec DOS and other related heme-bound PAS proteins The bold amino acids represent those discussed in the...
... for annotation is a set of texts whose nature is as diverse as possible Indeed the corpus contains excerpts from: newspapers, novels, Web pages, automatic audio transcriptions, anda set of questions ... produce the automatic fusion of all annotated data ofthe parsers, and then manually correct the divergent parses.' Last of all, the XML format into which we translate the parses is an open exchange ... set of candidate answers, the use of XML makes easier the selection ofthe paser for the task at hand Conclusion At the time of writing, we have developed all the different phases of our evaluation...
... risk assessment Management also sets risk appetites for the organization, manages and monitors responses to risk management issues, and provides assurance to the board as to the effectiveness of ... interviewees said consistently that the ability to conduct data analysis was an essential skill for the future Talented audit professionals able to evaluate and test internal controls, audit and assess ... pertinent issues, the CAE ofa financial institution urged internal auditors to consider macro trends such as health and wellness, workforce issues, and product safety as they assess management s risk...
... have assumed that the 4-kDa peptide and insulin may possess similar spatial arrangements of functional residues, and searched topochemical similarity in local structures between them In the case ... Finally, the cross-reacted bands were detected with alkaline phosphatase substrate (Moss, Maryland) Results and discussion Possible physiological function ofthe 4-kDa peptide To investigate the ... IleA2-ValA3 at the A- chain N-terminus, TyrA19 at the A- chain C-terminus, and ValB12 and TyrB16 at the B-chain central helix assume essentially the same spatial arrangements both in the locked, inactive...
... own signal processing algorithms allows us a total control ofthe work The study was made on a : scale model ofthe actual dome to overcome the problems of accessibility andthe danger of damaging ... information and in acoustic source location and tracking based on sensor and array signal processing He has published more than 50 papers including journals and conference contributions Addisson Salazar ... grain noise records, or for materials exhibiting regular spreading ofthe grains [6] It is also reasonable to assume that the presence ofthe interface may alter the grain noise statistics, so...
... all the papers mentioned above, the comparison results are for the smallest eigenvalues only The purpose of this paper is to establish the existence and comparison theorems for all the eigenvalues ... Lemma 2.4 (Perron-Frobenius) Let A be a real square matrix If A is also a nonnegative irreducible matrix, then the spectral radius ρ (A) ofthe matrix A is a simple eigenvalueofA associated to a ... Ji: Department of Mathematics, Kennesaw State University, Kennesaw, GA 30144, USA E-mail address: jji@kennesaw.edu Bo Yang: Department of Mathematics, Kennesaw State University, Kennesaw, GA 30144,...
... estimates was based on Wald s statistics Efficiency ofa single anthelmintic treatment The bivariate andthe multivariate regression analyses were based on 605 horses The conceptual model was: ... pretreatment and EPG post-treatment) with standard errors (SE) and P-values from bivariate and multivariate analysis are listed Risk factors (levels) N Bivariate analysis Mean Herd type Stud farm ... Larsen et al be an indication that AR has developed Some parasites survive treatment, what facilitates selection of AR parasites (Prichard 1994) This makes it necessary to investigate the association...
... whether we may show a relation between ofthe ramification ofthe Gauss map andthe total curvature ofa complete minimal surface The main purpose of this article is to give an affirmative answer for ... (C) be a nonconstant holomorphic map and q distinct hyperplanes H1 , , Hq in N −subgeneral position Assume that f has an essential singularity at ∞ in the particular case s > 0, and is ramified ... completed the Theorem Acknowledgements This work was completed during a stay ofthefirstandthe third-named authors at the Vietnam Institute for Advanced Study in Mathematics (VIASM) They would...
... it is easily seen that the zero function satisfies Problem (2) andthe uniqueness ofthe solution gives us x(t) = The reverse implication is obvious Caballero et al BoundaryValue Problems 2011, ... together therefore, we can affirm that the contents of this paper has been prepared by all the authors: JC, JH, and KS All authors read and approved the final manuscript Competing interests The authors ... Cite this article as: Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundaryvalue problems BoundaryValue Problems 2011 2011:25 Page of ...
... it is easily seen that the zero function satisfies Problem (2) andthe uniqueness ofthe solution gives us x(t) = The reverse implication is obvious Caballero et al BoundaryValue Problems 2011, ... together therefore, we can affirm that the contents of this paper has been prepared by all the authors: JC, JH, and KS All authors read and approved the final manuscript Competing interests The authors ... Cite this article as: Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundaryvalue problems BoundaryValue Problems 2011 2011:25 Page of ...
... difference boundaryvalueproblem via critical point theory,” Journal of Mathematical Analysis and Applications, vol 326, no 1, pp 511–520, 2007 M Aprahamian, D Souroujon, andS Tersian, “Decreasing and ... solutions, three of which are ofthe same sign, iii k is odd and 1.1 has two sigh-changing solutions, iv k is odd and 1.1 has three solutions ofthe same sign Remark 1.4 The assumption V < λ1 in Theorem ... solutions to continuous systems andthe corresponding discrete systems by employing discrete variable methods The classical results on difference BVP employs numerical analysis and features from the...
... BoundaryValue Problems Recently, the authors discussed second-order superlinear repulsive singular Neumann boundaryvalue problems by using a nonlinear alternative of Leray-Schauder and Krasnosel’skii ... The same reasoning as Theorem 2.2 shows that A is general α-concave and B3 is satisfied Using Theorem 1.1, u Au x0 has a unique solution u∗ in Ph That is, u∗ is a unique positive solution ofthe ... Krasnosel’skii fixed-point theorem on compression and expansion of cones, and obtained the existence of at least two positive solutions under reasonable conditions In , the authors established the...
... 1990 15 B Kaymakcalan, V Lakshmikantham, andS Sivasundaram, Dynamic Systems on Measure Chains, vol 370 of Mathematics and Its Applications, Kluwer Academic Publishers, Boston, Mass, USA, 1996 ... integrodifferential boundaryvalue problems with p-Laplacian,” BoundaryValue Problems, vol 2007, Article ID 57481, pages, 2007 12 R P Agarwal and M Bohner, “Basic calculus on time scales and some of its applications,” ... “Extremal solutions and Green s functions of higher order periodic boundaryvalue problems in time scales,” Journal of Mathematical Analysis and Applications, vol 290, no 1, pp 35–54, 2004 Q Dai and...