UNIQUENESS OF SOLUTION.

[20] L. K. Jackson, Existence and uniqueness of solutions of boundary value problems for third orderdifferential equations,JournalofDifferential Equations 13 (1973), no. 3, 432–437.[21], Uniqueness of solutions of boundary value problems for ordinary differenti[r]

singular perturbation method, indeed it offers considerable reduction and simplicity incomputation since it does not require to compute boundary layer correction solutions. Thismethod can be easily extended for initial value problems.References[1] C.ComstockandG.C.Hsiao,Singular perturbations for diff[r]

EXISTENCE FOR A CLASS OF DISCRETEHYPERBOLIC PROBLEMSRODICA LUCAReceived 1 November 2005; Revised 10 March 2006; Accepted 7 April 2006We investigate the existence and uniqueness of solutions to a class of discrete hyperb olicsystems with some nonlinear extreme conditions a[r]

α−1u − bx|u|β−1u with α>β≥ 1anda, b ≥ 0. Obviously, the sign conditionugu ≥ 0 fails to hold for this type of function.For these purposes, we must establish the global existence of solution for 1.1-1.2.Several methods have been used to study the existence of[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2011, Article ID 979261, 11 pagesdoi:10.1155/2011/979261Research ArticleThe Iterative Method of Generalizedu0-Concave OperatorsYanqiu Zhou, Jingxian Sun, and Jie SunDepartment of Mathematics, Xuzhou Normal Universi[r]

ordinary and partial differential equations 1. Although in many cases, speaking aboutmaximum principles, authors mean quite different definitions of maximum principles suchas e.g., corresponding inequalities, boundedness of solutions and maximum boundariesprinciples, there exists a de[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 908490, 15 pagesdoi:10.1155/2010/908490Research ArticleA New System of Generalized Nonlinear MixedVariational Inclusions in Banach SpacesJian Wen PengCollege of Mathematics and Computer Science, Ch[r]

Autoclave for 15 min at 15 psi pressure–121°C. Cool to 50°C. Asepti-cally add 8.0mL selective supplement solution, 20.0mL phenolphtha-lein solution, 4.0mL ferric chloride solution, and 8.0mL indoxyl-β-D-glucoside solution. Mix thoroughly. Pour into sterile Petri dishes or[r]

Hindawi Publishing CorporationBoundary Value ProblemsVolume 2010, Article ID 208085, 23 pagesdoi:10.1155/2010/208085Research ArticleThe Boundary Value Problem of the Equations withNonnegative Characteristic FormLimei Li and Tian MaMathematical College, Sichuan University, Chengdu 610064, Chin[r]

Hindawi Publishing CorporationBoundary Value ProblemsVolume 2009, Article ID 191627, 13 pagesdoi:10.1155/2009/191627Research ArticleExistence and Uniqueness ofSmooth Positive Solutions to a Class of Singularm-Point Boundary Value ProblemsXinsheng Du and Zengqin ZhaoSchool of Mat[r]

1 M. Kuczma, Functional Equations in a Single Variable, vol. 46 of Monografie Matematyczne, PWN-PolishScientific, Warsaw, Poland, 1968.2 M. Kuczma, B. Choczewski, and R. Ger, Iterative Functional Equations, vol. 32 of Encyclopedia ofMathematics and Its Applications, Cambridge Univers[r]

This work was supported by the Science Research Foundation of Educational Department ofLiaoning Province 20060467 and the Korea Research Foundation Grant funded by the KoreanGovernment MOEHRD, Basic Research Promotion FundKRF-2006-312-C00026.References1 S. Adly, “Perturbed algorithms[r]

Succinic acid 0.1gL-Cystine 0.1gL-Tryptophan 0.1gL-Cysteine 0.06gPreparation of Schneider’s Drosophila Medium: Add compo-nents to 1.0L of distilled/deionized water. Mix thoroughly. Filter ster-ilize.Solution 1:Composition per 80.0mL:Sorbitol 7.0gNoble agar 5.0gBeef heart, solids[r]

(x)), k ∈ N.In(1.1)the functions F, Hiand constants λi(i ∈N) are given and the unknown function f is tobe found. The above equation is more general than those considered by Dhombres [2],Mukherjea and Ratti [3], Nabeya [4], and Zhang [5].2. PreliminariesThis section collects the standard terminology[r]

Cl 0.118gEDTA 0.029gPreparation of TA Buffer Solution: Add components to distilled/deionized water and bring volume to 100.0mL. Mix thoroughly. Preparation of Polar Lipid Fraction: Add 10.0g (wet weight) ofThermoproteus tenax cells to 20.0mL of TA buffer solution.[r]

evolution equations in Banach spaces,” Nonlinear Analysis. Theory, Methods & Applications, vol. 73, no.5, pp. 1426–1438, 2010.8 H S. Ding, J. Liang, and T J. Xiao, “Some properties of Stepanov-like almost automorphic functionsand applications to abstract evolution equations,” Applic[r]

3. Properties for the case that A and B do not intersect This section considers the contractive conditions (2.1) and (2.21) for the case ∅=∩BA . For such a case, Lemmas 2.1, 2.3, and 2.8 still hold. However, Theorems 2.2, 2.4, and 2.9 do not further hold since fixed points in BA∩ cannot exist. Thus,[r]

1Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia) – Aptdo. 644-Bilbao, 48080-Bilbao, Spain 2Department of Mathematics, Texas A&M University - Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA *Correspondin[r]

nies show a color change to red of the pH indicator. E. coli coloniesshow a fluorescence under UV light. Lactose-negative Enterobacteri-aceae are colorless. Lactose-positive colonies are red and often sur-rounded by a turbid zone due to the precipitation of bile acids. Lightblue fluore[r]

investigation of standard contractive and Meir-Keeler-type contractive 2-cyclic self-mappings BABAT∪→∪: defined on subsets XBA⊆, and, in general, p-cyclic self-mappings UUpiipiiAA:T∈∈→ defined on any number of subsets XAi⊂ , {}p, ,,pi 21:=∈ , where ()d,X is a metric space (see, for ins[r]