... this article as: Bae and Park: A fixed-point approach to the stability ofa functional equation on quadraticforms. Journal of Inequalities and Applications 2011 2011:82.Bae and Park Journal of ... Găvruta, P: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J Math Anal Appl.184, 431–436 (1994). doi:10.1006/jmaa.1994.12116. Jung, S-M: Hyers-Ulam-Rassias ... stability of the linear functional equation. Proc Natl Acad Sci USA. 27, 222–224 (1941). doi:10.1073/pnas.27.4.2223. Bae, J-H, Park, W-G: On stability ofa functional equation with n variables....
... Hyers-Ulamstability ofa functional equation in variousnormed spacesHassan Azadi Kenary1, Sun Young Jang2and Choonkil Park3** Correspondence: baak@hanyang.ac.kr3Department of Mathematics,Research ... functional equation. J Inequal Appl 2011(2011). Article ID 19439413. Kenary, HA: On the Hyers-Ulam-Rassias stability ofa functional equation in non-Archimedean and random normedspaces. Acta Universitatis ... CircoloMath Di Palermo. (to appear)9. Kenary, HA, Shafaat, Kh, Shafei, M, Takbiri, G: Hyers-Ulam-Rassias stability of the Appollonius quadratic mapping in RN-spaces. J Nonlinear Sci Appl. 4,...
... mechanochemicalnature of a- CT catalysis A more detailed analysis of the influence of chemicalglycosylation on the dynamics of a- CT from the theor-etical simulations was additionally performed to gain a deeper ... modeled.Table S4. Average rmsd (A ˚) for the conserved catalyticresidues calculated from MD simulations of a- CT andthe various Lac -a- CT conjugates modeled.This material is available as part of ... quantitative analysis of the HX decay datawas done by a two-exponential model:X ẳ A 1expkHX;1ịtỵ A 2expkHX;2ịtỵ A 3where A 1, A 2, and A 3are the fractions of the fast, slow andstable...
... R1−αΛ12+α2θ2L2, Annals of Mathematics Formation of singularities for a transport equation with nonlocal velocity By Antonio C´ordoba, Diego C´ordoba, and Marco A. Fontelos 1380 ANTONIO ... the 1D analog (1.6).The system (1.4) and (1.5) with σ = 0 has the very interesting property of being ill-posed for general initial data. A linear analysis of small perturbations of planar sheets ... cαΛ12θL2. Annals of Mathematics, 162 (2005), 1377–1389Formation of singularities for a transport equation with nonlocal velocityBy Antonio C´ordoba∗, Diego C´ordoba∗∗, and Marco A. Fontelos∗∗*AbstractWe...
... Isac, G, Rassias, ThM: Stability of Functional Equations in Several Variables. Birkhăauser,Basel (1998)[23] Jung, S: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis. ... doi:10.1186/1687-1847-2011-62Hassan Azadi Kenary (azadi@mail.yu.ac.ir)Choonkil Park (baak@hanyang.ac.kr)Hamid Rezaei (rezaei@mail.yu.ac.ir)Sun Young Jang (jsym@ulsan.ac.kr)ISSN 1687-1847Article type ResearchSubmission ... versions will be made available soon.Stability ofa generalized quadratic functional equation in various spaces: a fixedpoint alternative approachAdvances in Difference Equations 2011, 2011:62...
... length. A was found to varyin a parabolic manner and was modeled as A( θ) = a( 40 - θ)2 + b(40 - θ) + A 40,(11)where A 40 is the value ofA at 40° of knee flexion, and a and b are constants ... University of Delaware, Newark, DE, USA and 2Department of Mechanical and Aeronautical Engineering, Civil and Environmental Engineering, and Land, Air, and Water Resources, University of California, ... the val-ues ofA at the above four angles to the parabolic equation given by a( 40 - θ)2 + b(40 - θ) + A 40. Fitting of measuredand modeled data was carried out using a derivate basedoptimization...
... employs a simulated piano that presents visual, auditory and tactile feedback comparable to an actual piano.Arm tracking allows patients to train both the arm and hand as a coordinated unit, emphasizing ... theintegration of both transport and manipulation phases. The piano trainer includes songs and scalesthat can be performed with one or both hands. Adaptable haptic assistance is available for ... a full keyboard with a complete range of single notes. A list of .wav files, eachhaving the sound ofa single note of the piano, are pre-loaded into a sound file array. The keyboard array of...
... elevation into abduction and flexionand recalculated the values for elbow angle into an ana-tomical angle rather the technical/mathematical anglevalues. One limitation of this study, for example, ... left the measurement area and markerswere removed. After a 5–10 minutes break the markerswere replaced and subject was tested a second time.Data analysis and raw data handlingAfter the recording ... http://www.jneuroengrehab.com/content/3/1/18Page 10 of 11(page number not for citation purposes)and analyze a goal-oriented daily task has a great clinicalpotential. However a certain degree of standardization isindispensable in...
... broker transported cli-ents by car to view residential property.Data AnalysisData were processed and analyzed after testing each sub-ject. The same time interval of BML and IDEEA data wasanalyzed ... in analyzing the data and revis-ing the manuscript. All authors read and approved thefinal manuscript.AcknowledgementsThe authors thank Patrick Duplessis for his assistance with data analysis. ... for citation purposes)Journal of NeuroEngineering and RehabilitationOpen AccessResearchAmbulatory measurement of knee motion and physical activity: preliminary evaluation ofa smart activity...
... Stability ofa generalized quadratic functional equation in various spaces: a fixed point alternative approachHassan Azadi Kenary1, Choonkil Park∗2, Hamid Rezaei1and Sun Young Jang31Department ... Isac, G, Rassias, ThM: Stability of Functional Equations in Several Variables. Birkhăauser,Basel (1998)[23] Jung, S: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis. ... Seoul133-791, Korea3Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea∗Corresponding author: baak@hanyang.ac.krEmail addresses:HAK: azadi@mail.yu.ac.irHR: rezaei@mail.yu.ac.irSYJ:...
... (1991)7. Matsuyama, T, Ikerata, R: On global solutions and energy decay for the wave equations of Kirchhoff type with nonlineardamping terms. J Math Anal Appl. 204, 729–753 (1996). doi:10.1006/jmaa.1996.04648. ... nonlinear wave equations of Kirchhoff type with some dissipation.Nonlinear Anal TMA. 65, 243–264 (2006). doi:10.1016/j.na.2004.11.02313. Yamada, Y: On some quasilinear wave equations with dissipative ... the case where M(s) = 1, Cavalcanti et al. [14]investigated the existence and uniform decay of strong solutions of wave equation (1.1)with a nonlinear boundary damping of memory type and a nonlinear...
... A- harmonic equation. Journal of Inequalities and Applications 2011 2011:80.Li et al. Journal of Inequalities and Applications 2011, 2011:80http://www.journalofinequalitiesandapplications.com/content/2011/1/80Page ... Ω.Li et al. Journal of Inequalities and Applications 2011, 2011:80http://www.journalofinequalitiesandapplications.com/content/2011/1/80Page 5 of 13 RESEARCH Open AccessThe existence of solutions ... et al. Journal of Inequalities and Applications 2011, 2011:80http://www.journalofinequalitiesandapplications.com/content/2011/1/80Page 2 of 13 sptϕ ⊂mi=1i=D. Choose a partition of...
... Math Anal Appl. 352,99–111 (2009). doi:10.1016/j.jmaa.2008.06.02116. Kang, D: Solution of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy term. J MathAnal ... 2011:37http://www.boundaryvalueproblems.com/content/2011/1/37Page 11 of 15 11. Wang, L, Wei, Q, Kang, D: Multiple positive solutions for p-Laplace elliptic equations involving concave-convexnonlinearities and a Hardytype term. Nonlinear Anal. 74, ... quasilinear elliptic equations involving the p-Laplacian. Boll Unione Mat Ital Scz B. 9, 445–484 (2006)4. Cao, D, Han, P: Solutions for semilinear elliptic equations with critical exponents and...
... u(t, a) has a unique c ritical point c (a) in (a, b (a )),and at this point, u(t, a) obtains a local maximum value.Lemma 3.1 Assume that (F2) holds, then j(t, a) >0for all t ẻ (a, c (a) ).Proof. We ... slightmodification to [8].Lemma 3.2 Assume a ẻ N and f(t,u) satisfies (F1), then(H1) j(t ,a) vanishesat least once and at most finitely many times in (a, b (a) ),(H2) if 0< ;a 1< ;a 2, and at least ... for all t ẻ (a, t0]. With the initial point t0replace by r >t0, for an appropriate valuer, the same proof can be reapplied as often as necessary to give uniqueness of any con-tinuation...
... Hyers-Ulam-Rassias stability of approximately additive mappings. J Math Anal Appl.184, 431–436 (1994). doi:10.1006/jmaa.1994.12118. Hyers, DH, Isac, G, Rassias, ThM: Stability of functional equations ... stability of Jensen’s equation. J Math Anal Appl. 238,305–315 (1999). doi:10.1006/jmaa.1999.654615. Lee, Y-H, Jun, K-W: A generalization of the Hyers-Ulam-Rassias stability of Pexider equation. J Math ... closeto an exact solution of the equation? ”. Such a problem, called a stability problem of the functional equation, was formulated by Ulam [1] in 1940. In the next year, Hyers[2] gave a partial solution...