... prioritization, and layer 2 addressing services for user data.•Created to allow interoperability between various vendors' SCADA components for the electrical grid•Developed by GE-Harris ... 2525Power Application-1 (Swiss Project)Case StudySlide 66Communication in Substations• Need channel banks for voice (phones) and data• Need mux to connect to a radio• Dry contact for ... Bridge for the subrate data• Some customers still interested in OCU-DP card• LV/LV+ used as configuration tools• Ethernet for service computer access• RS232 for RTU• -125VDC power•...
... 202-458-8955www.worldbank.orgFINANCIAL SOLUTIONS for Catastrophe Risk ManagementWorld Bank Group For more information, contact:Olivier MahulCoordinator, World Bank Group Catastrophe Risk Insurance ... Market Non Banking Unit 1818 H Street NW Washington, DC 20433 USA omahul@worldbank.org +1 202-458-8955www.worldbank.orgFINANCIAL SOLUTIONS for Catastrophe Risk ManagementWorld Bank Group ... World Bank Group has two complementary catastrophe risk financing product lines: Sovereign risk financing for direct budget support Contingent Financing. Development Policy Loan (DPL) with...
... effective tools for studying the existence ofinfinitely many large energy solutions and small energy solutions. When we imposesome suitable condit ions on the growth of the potential function ... x)|x|μ≤Quniformly for a.e. t Î [0, T];(B3) there exists μ’ >p+and Q’ > 0 such thatlim inf|x|→+∞F( t, x)|x|μ≥ Quniformly for a.e. t Î [0, T];(B4) F(t, x)=F(t,-x) for t Î [0, ... exists positive constantC2such thatC2u≤u∗ for u ∈ Yk.(3:7)In view of (B3), there exist two positive constants M1and C3such thatF(t, x)≥ M1|x|μ(3:8) for a.e....
... RESEARC H Open AccessExistence of positive solutionsfor nonlocalsecond-order boundary value problem with variable parameter in Banach spacesPeiguo ZhangCorrespondence:pgzhang0509@yahoo.cnDepartment ... σ10g(x)dx. For the Green’sfunctionG(t, s), it is easy to prove that it has the following twoproperties.Proposition 2.1 For t, s Î I, we have 0 ≤ H(t, s) ≤ h(s) ≤ k0.Proposition 2.2 For t, w, ... this article as: Zhang: Existence of positive solutionsfor nonlocal second-order boundary value problem with variable parameter in Banach spaces. Fixed Point Theory and Applications 2011 2011:43.Submit...
... Sup-pose in additionG(t ) > 0for t =0andG(0) = 0.Then, the problem (1.3) possesses at least dim Mk- 1 distinct pairs of sign-changing solutions. (Mkdenotes the eigenspace corresponding ... H+=0,thenweconsidercj for j ≥ 2. As per the above arguments,J(0) < c0≤ c2≤ c3≤···≤ cdim H−≤ c∞and if c := cj= = cj+l for 2 ≤ j ≤ j + l ≤dim H- with l ≥ 1, then i(Kc∩ S) ≥ l +1≥ 2.Therefore, ... point and applications to nonlinear differentialequations with resonace. Houson J Math. 25, 563–582 (1999)4. Molle, R, Passaseo, D: Nonlinear elliptic equations with large supercritical exponents....
... existence of one or two positive solutions for BVP1.1 is established by applying the Krasnoselskii fixed point theorem. In Section 4,wegive the existence of three positive solutionsfor BVP1.1 by ... λψu for 0 ≤ λ ≤ 1, such that for positive number M and d,αu≤ ψu, u≤Mγu2.19 for all u ∈Pγ,d. Suppose T : P γ,d → Pγ,d is completely continuous and there exist positivenumbers ... vol. 68, no. 8, pp.2269–2279, 2008.6 B. Liu, “Positive solutions of three-point boundary value problems for the one-dimensional p-Laplacian with infinitely many singularities,” Applied Mathematics...
... 138–154, 2010.15 J. Zhao and W. Ge, “Positive solutionsfor a higher-order four-point boundary value problem with ap-Laplacian,” Computers & Mathematics with Applications, vol. 58, no. 6, ... solutionsfor fourth-order boundary valueproblems with three parameters,” Mathematical and Computer Modelling, vol. 46, no. 3-4, pp. 525–534,2007.8 H. Ma, “Symmetric positive solutionsfor ... H : Y→ Y∩ X.Fixed Point Theory and Applications 1111 Z. Wei and C. Pang, “Positive solutions and multiplicity of fourth-order m-point boundary valueproblems with two parameters,” Nonlinear...
... ball BN0; 1has exactly two positive solutionsfor λ ∈ 0,λ0 and has exactly one positive solution for λ λ0and no positive solution exists for λ>λ0. For more general results of Eλinvolvingsign-changing ... λ0> 0suchthatEλ admits atleast two positive solutionsfor all λ ∈ 0,λ0 and has one positive solution for λ λ0and nopositive solution for λ>λ0. Actually, Adimurthi et al. ... However, little has been done for this type of problem in unboundeddomains. For ΩN, we are only aware of the works 12–15 which studied the existenceof solutionsfor some related concave-convex...
... lower solutions method together with maximal principle, we establish anecessary and sufficient condition for the existence of pseudo-C30, 1 as well as C20, 1 positive solutions for fourth-order ... X. Zhang and L. Liu, “A necessary and sufficient condition for positive solutionsfor fourth-ordermulti-point boundary value problems with p-Laplacian,” Nonlinear Analysis: Theory, Methods &Applications, ... results for positive solutions of an integral boundary valueproblem,” Nonlinear Analysis: Theory, Methods & Applications, vol. 65, no. 8, pp. 1489–1511, 2006.11 Z. Yang, “Positive solutions...
... olutions for superlinear second order m-pointboundary value problems,” Topological Methods in Nonlinear Analysis, vol. 34, no. 2, pp. 279–290, 2009.7 R. Ma and B. Thompson, “Nodal solutionsfor ... structure of positive solutions of 1.1, 1.2 with f0 ∞. However, to the best of our knowledge, there is no paperto discuss the global structure of nodal solutions of 1.1, 1.2 with f0 ... →∞ylt ∞, uniformly for t ∈α, β. 3.33Hence, we haveliml →∞fyltylt ∞, uniformly for t ∈α, β. 3.34Now, we show that liml →∞μl 0.Suppose on the contrary...
... differentialequations with three-point boundary conditions,” Computers & Mathematics with Applicationsl, vol. 58,no. 9, pp. 1838–1843, 2009.16 Z. Bai and H. L¨u, “Positive solutionsfor boundary ... uniqueness of solutionsfor nonlinear integro-differential equations offractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions by applyingsome standard fixed point theorems.1. ... severalresearchers with the sphere of study ranging from the theoretical aspects of existence anduniqueness of solutions to the analytic and numerical methods for finding solutions. For somerecent...
... the existence of positive solutionsfor semipositoneproblems for small enough λ > 0.This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and ... operator for the corresponding second-order multi-point boundaryvalue problem. Then we establish a special cone associated with concavity of functions.Finally, the existence of positive solutionsfor ... existence of positive solutions of ordinary differentialequations. Proc. Am. Math. Soc. 120, 743–748 (1994)[13] Yao, Q: Existence of n solutions and/or positive solutions to a semipositone elastic.Nonlinear...
... Krasnosel’ski˘ı’s fixedpoint theorem and Leggett-Williams theorem, some sufficient conditions for the existenceof positive solutions to the above BVP are obtained.In [25], by using upper and lower solutions ... H: Positive solutionsfor boundary value problem of nonlinear fractional differ-ential equation. J. Math. Anal. Appl. 311, 495–505 (2005)[35] Leggett, RW, Williams, LR: Multiple positive solutions ... ≥ Br, (3.16)where B =(µ+ε0)q−1Q(Γ(β+1))q−1.24Positive solutionsfor boundary value problem offractional differential equation with p-LaplacianoperatorGuoqing ChaiCollege of Mathematics...
... presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; theiterative ... Publishing CorporationAdvances in Difference EquationsVolume 2010, Article ID 971540, 18 pagesdoi:10.1155/2010/971540Research ArticleExistence and Uniqueness of Positive Solutions for Discrete ... 2006.7 D. B. Wang and W. Guan, “Three positive solutions of boundary value problems for p-Laplaciandifference equations,” Computers & Mathematics with Applications, vol. 55, no. 9, pp. 1943–1949,...
... solutionsfor a class of second-order multi-point boundaryvalue problem with p-Laplacian on time scales. By using the well-known Krasnosel’ski’s fixed-point theorem, some new existence criteria for positive ... B2x for some positive constants B1,B2. They established the existenceresults for at least single, twin, or triple positive solutions of the above problem by usingKrasnosel’skii’s fixed point ... ∞,andKmx ≤ B0x ≤ KMx for some positive constants Km,KM. They established the existence results for at least onepositive solution by using a fixed point theorem of cone expansion...