... theory with applications to differential equations CBMS Reg Cof Ser Math 65 (1986) doi:10.1186/1687-2770-2011-18 Cite this article as: Qian: Sign-changing solutions for some nonlinear problemswith ... condition In problems which not have resonance at infinity, the (PS) condition is easy to verify On the other hand, a weaker condition than the condition (PS) is needed to study problemswith strong ... s(tn, v) ® u in Page of Qian Boundary Value Problems 2011, 2011:18 http://www.boundaryvalueproblems.com/content/2011/1/18 Page of H as tn ® ∞ for some v ∉ W and u Î K, then un ® u in X; (c) If...
... where only a few children reported such symptoms Allergic symptoms like problemswith sneezing or a runny and blocked nose without a cold or a flu were reported in about 60 % in group A, significantly ... reports have also demonstrated that a certain percentage of subjects with apparently outgrown atopic asthma remain asymptomatic without needing therapy for the rest of their lives, but asthma remission ... the age at onset, the greater the chance of relapse (11) So, there is also a chance that some children with wheezing symptoms in early life have outgrown their childhood asthma as teenager or...
... yesterday use up too much of today.” 216 C O M M O N U S AG E E R RO R S Here are some specific kinds of proper nouns, with examples, that require capital letters Names of particular persons, real ... your heart? —Robert Browning, “Andrea del Sarto” 220 C O M M O N U S AG E E R RO R S Lesson 27 Problemswith Spelling You are more likely to misspell common words than uncommon ones That happens ... recommend boundary every lightning resistance break exception maintenance rhythm continued PROBLEMSWITH SPELLING 221 says straight though until scene studying thought weird secretary success...
... everywhere, nowhere, somewhere My Spanish book must be somewheres around here ⁄ PROBLEMSWITH MODIFIERS 191 Don’t say this here or that there to describe a noun This here cake was made without eggs Don’t ... iiiiiii x A tree (with green leaves) stands at the front gate Some people would mistakenly write stand in the belief that leaves is the subject It is not Expressions like with, together with, according ... make the verb agree with its subject The following discussion centers on these aspects of verbs The lesson ends with a review of some verb pairs that are especially troublesome Using the Correct...
... indirect OBJECT Go with Maura and him (not he) to the flea market Say: Go with Maura Go with him Go with Maura and him (not he) Maura and him form a compound OBJECT of the preposition with Note the ... singular His her with or is singular Even though everybody “sounds” plural, it isn’t The use of their with everybody—or with any other word on the list—is incorrect in formal English With either ... singular verb, wants, agrees with the nearer subject, she, which is also singular Some indefinite pronouns usually require a plural verb: several, many, both, some, few ii x m i Some were not invited...
... sentence with a subordinate clause beginning with unless Unless Daria cleaned her room, she wasn’t allowed to have a television in it Write a simple sentence with a compound subject PROBLEMSWITH ... object, car, like a verb.) PROBLEMSWITH SENTENCE STRUCTURE 161 A gerund cannot make a complete sentence without a true verb NOT A SENTENCE: Winning the soccer match with a penalty kick SENTENCE: ... complete sentences NO VERB: Raquel, along with a friend of hers from Dallas COMPLETE SENTENCE: Raquel arrived, along with a friend of hers from Dallas PROBLEMSWITH SENTENCE STRUCTURE 155 NO VERB:...
... gives some suggestions for these problems There may be some other aspects relating to sales contract, not mentioned here 1 Overview of the Study 1.1 Aims The study aims to investigate problems ... business as well as economy The study deals withsomeproblems of English students when translating legal context, namely sales contract The study is completed with the survey and translation test on ... foreign languages department found some difficulties and challenges when dealing with sales contract translation Her ambition in this study is only to identify some difficulties that students may...
... of a good story should be to connect with people and to convey emotions The context you use may vary; for instance: anything is possible, you can really make something happen 15 A story can be ... in Video Marketing Here, here, here, here, here and here [Spanish video] are some videos that may serve as example Some are our own creation; others, we’ve found Connect: Aut hored by: Isra Garcia...
... and Integration 109 10 Lp Spaces 121 11 Integration on Product Measure Space 141 12 Some More Real Analysis Problems 151 www.MathVn.com3 - Math Vietnam www.MATHVN.com - Anh Quang Le, PhD CONTENTS ... An for some n And so Ac ∈ An ( since An is an algebra) Thus, Ac ∈ A (iii) Suppose A, B ∈ A We shall show A ∪ B ∈ A Since {An } is increasing, i.e., A1 ⊂ A2 ⊂ and A, B ∈ n∈N An , there is some ... Clearly, X ∈ B (ii) If A ∈ B then A ∈ σ(CA ) for some countable family CA ⊂ σ(C) Then Ac ∈ σ(CA ), so Ac ∈ B (iii) Suppose {An }n∈N ⊂ B Then An ∈ σ(CAn ) for some countable family CAn ⊂ C Let E = n∈N...
... placed immediately after the verb in the English - "This is the man with whom I went" - "This is the man that I went with. " It is with those instances, however, that the occasional odd-looking translation ... then went and told Mrs Evans." In German this is common enough with was, but not with der, the similar use of which is frowned upon by some grammarians Apart from this and one or two other exceptions, ... referring to a person or thing When, however, as sometimes happens, the genitive case does not indicate possession, but merely arises from construction with a preposition or verb governing the genitive,...
... Bnk VI PROBLEMS ON COMPUTING PROBABILITIES A very important class of combinatorial problems is concerned with the computation of probabilities This section is devoted to some of these problems, ... intended to unify the treatment of several subsequent problemsSome of the problems have been restated in order to illustrate the same ideas with smaller numbers The introductory remarks to section ... this is the best way to approach them Such, for example, are problems 53 and 54, problems 83 and 84, and, in general, all problems marked with three asterisks Sections VII and VIII could also be...
... will be referred as situations with lookahead In recent years, a lot of problemswith lookahead have been studied (paging problems, bin packing problems, graph problems and so on) It was expected ... Online Storage Systems and Transportation Problems information or without any knowledge of the future One approach (not treated in this book) to solve problemswith only partial or insufficient information ... Online Situations with Lookahead 2.5.3.1 Definition of a Lookahead 2.5.3.2 An Algorithm with a Weak Lookahead, size 2.5.3.3 Algorithms with a Weak Lookahead, size 2.5.3.4 An Algorithm with a Strong...
... after ¯ ¯ ¯ y taking the subsequence if necessary, we have that yn → y for some y ∈ X with ||¯ ||X = ˜ ¯ and μn → μ for some μ Î ℝ Moreover, from (4.4) and the fact that ξ is nondecreasing, we ... boundary value problemswith indefinite weight Nonlinear Anal: TMA 71, 2119–2125 (2009) doi:10.1016/j.na.2009.01.046 Agarwal, RP, Henderson, J: Positive solutions and nonlinear eigenvalue problems ... discrete Dirichlet problemswith lower and upper solutions Nonlinear Anal: TMA 67(4), 1236–1245 (2007) doi:10.1016/j.na.2006.07.010 10 Rodriguez, J: Nonlinear discrete Sturm-Liouville problems J Math...
... fixed point problems Comput Math Appl 50, 2292–2301 (2010) Cho, YJ, Qin, X, Kang, JI: Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems Nonlinear ... Cho, YJ, Chen, R: An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems Nonlinear Anal (TMA) 71, 3363–3373 (2009) doi:10.1016/j.na.2009.01.236 ... (2005) Takahashi, S, Takahashi, W: Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert space J Math Anal Appl 331, 506–515 (2007) doi:10.1016/j.jmaa.2006.08.036...
... of 18 problemswith integral boundary conditions constitute a very interesting and important class of problems They include two-point, three-point, multipoint and nonlocal boundary value problems ... boundary value problemswith integral boundary conditions on time scales Motivated by the statements above, in this paper, we are concerned with the following boundary value problem with integral ... that boundary value problemswith integral boundary conditions on time scales also cover two-point, three-point, , n-point boundary problems as the nonlocal boundary value problems in the continuous...
... weak solutions of the A-harmonic equations with w(x) ≡ have been considered [4], and the regularity theory for very solutions of obstacle problemswith w(x) ≡ have been explored in [5] This paper ... http://www.journalofinequalitiesandapplications.com/content/2011/1/58 Page of The local and global higher integrability of the derivatives in obstacle problemswith w(x) ≡ was first considered by Li and Martio [2] in 1994, using the so-called reverse ... been explored in [5] This paper gives a Caccioppoli-type estimate for solutions to obstacle problemswith weight, which is closely related to the local regularity theory for very weak solutions...