Second order optimality conditions with the envelope like effect in nonsmooth multiobjective mathematical programming i l stability and set valued directional derivatives

... replacing continuous differentiability and stability by strict differentiability and l- stability, respectively (shortly, resp.) We consider the following multiobjective mathematical programming ... Section is devoted to second- order directional derivatives and properties which will be in use In Part II ([17]), we establish in Section necessary optimality conditions, with the envelope- like effect, ... U and constant ϑ applied in the inequality (2.1) or in the inequality (2.2) can also be applied in the other one Due to Proposition 2.2 (iii), in the sequel we use only the lower directional...

Báo cáo hóa học: " PERIODIC SOLUTIONS OF SECOND-ORDER LIÉNARD EQUATIONS WITH p-LAPLACIAN-LIKE OPERATORS" pot

... for periodic solutions of semilinear Duffing equations, Journal of Differential Equations 105 (1993), no 2, 364–409 [5] C Fabry and D Fayyad, Periodic solutions of second order differential equations ... Mawhin, Periodic solutions for nonlinear systems with p-Laplacian-like a operators, Journal of Differential Equations 145 (1998), no 2, 367–393 [9] J Mawhin and J R Ward Jr., Periodic solutions of ... 2 Periodic solutions for Li´ nard equations e Motivated by the work of [13], in this paper we use new polar coordinates [13] to investigate the existence of periodic solutions for the second-order...

Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx

... preliminaries including existence and numbers of eigenvalues of the coupled boundary value problems, and some properties of eigenvalues of a kind of separated boundary value problem, which will be used ... Section 2, let μk ≤ k ≤ Ns be the eigenvalues of the separated boundary value problem 1.1 with 2.7 , and let λj eiα K ≤ j ≤ N − be the eigenvalues of the coupled boundary value problem 1.1 and 1.2 ... 18 Advances in Diﬀerence Equations Y Wang and Y Shi, Eigenvalues of second-order diﬀerence equations with periodic and antiperiodic boundary conditions,” Journal of Mathematical Analysis and...

Báo cáo khoa học: Interaction of the general transcription factor TnrA with the PII-like protein GlnK and glutamine synthetase in Bacillus subtilis potx

... concentrations on GlnK binding to TnrA GlnK TnrA interaction in the presence of mm ATP On the other hand, 2-oxoglutarate did not in uence the GlnK TnrA interaction, either alone, in the absence of divalent ... interaction of truncated TnrA proteins with GlnK and GS (A) BIAcore analysis of GlnK and GS binding to wild-type TnrA (TnrAwt), TnrA6 , TnrA2 0, and TnrA3 5 The analyte (40 nM GlnK or GS oligomers) was injected ... with the lack of TnrA degradation in this strain GS was copuriﬁed with TnrA and the recovery of GS was independent of As a next step, the interaction of TnrA with GlnK was investigated in vitro by...

Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx

... doi:10.1186/1687-2770-2011-33 Cite this article as: Zhang et al.: Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian Boundary Value Problems 2011 2011:33 ... XJ, Yuan, R: Existence of periodic solutions for p(t)-Laplacian systems Nonlinear Anal 70, 866–880 (2009) doi:10.1016/j.na.2008.01.017 15 Bartsch, T: Infinitely many solutions of a symmetic Dirchlet ... [15,16], and both theorems are effective tools for studying the existence of infinitely many large energy solutions and small energy solutions When we impose some suitable conditions on the growth of...

báo cáo hóa học: " Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity" pdf

... non-autonomous second order systems J Math Anal Appl 202, 465–469 (1996) doi:10.1006/jmaa.1996.0327 Tang, CL: Periodic solutions for nonautonomous second order systems with sublinear nonlinearity ... doi:10.1186/1687-2770-2011-23 Cite this article as: Wang and Zhang: Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity Boundary Value Problems 2011 2011:23 ... solution for a class of non-autonomous second- order systems with linear nonlinearity Nonlinear Anal 60, 325–335 (2005) 12 Wang, Z, Zhang, J: Periodic solutions of a class of second order non-autonomous...

Báo cáo hóa học: " Research Article Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization" doc

... concerning the behavior of the perturbation map Li 10 discussed the continuity of contingent derivatives for set-valued maps and also discussed the sensitivity, continuity, and closeness of the contingent ... contingent derivative of the marginal map By virtue of lower Studniarski derivatives, Sun and Li 14 obtained some quantitative results concerning the behavior of the weak perturbation map in parametrized ... stability in optimization see 1–16 Tanino obtained some results concerning sensitivity analysis in vector optimization by using the concept of contingent derivatives of set-valued maps introduced in...

báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefﬁcient" ppt

... properties of rapidly varying sequences are described and the existence of rapidly varying solutions of 1.1 is completely analyzed for the case pk < Regularly Varying Solutions of Half-Linear Difference ... classiﬁcation of the eventually positive solutions according to their regularly varying behavior, and the M-classiﬁcation The relations with the set of recessive solutions and the set of dominant solutions ... varying, with z ∈ NRV ∪ NRV Proof First we show the last part of the statement Let {x, y} be a fundamental set of solutions of 1.1 , with y ∈ NRV , x ∈ NRV , and let z be an arbitrary solution of...

Báo cáo hóa học: "Research Article Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and Maximum" ppt

... valid for functional diﬀerential equations in general form and for some cases of unbounded right-hand side of the equation see 1, Remark and , 2, Remark and In 1998, Stanˇ k worked on the existence ... results for second order nonlinear problems with maximum and minimum, ” e Mathematische Nachrichten, vol 192, no 1, pp 225–237, 1998 S Stanˇ k, “Multiplicity results for functional boundary value problems, ” ... 2 Advances in Diﬀerence Equations In this paper, we discuss the nonlinear second-order discrete problems with minimum and maximum: Δ2 u k − f k, u k , Δu k , u k : k ∈ T k ∈ T, max u k :...

Báo cáo hóa học: "SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS" pptx

... impulsive functional differential equations, Computers & Mathematics with Applications 50 (2005), no 34, 491–507 [2] T Jankowski, Advanced differential equations with nonlinear boundary conditions, ... differential equations with nonlinear boundary conditions, Boundary Value [3] Problems 2005 (2005), no 2, 201–214 , Solvability of three point boundary value problems for second order differential equations ... differential equations [4] with deviating arguments, Journal of Mathematical Analysis and Applications 312 (2005), no 2, 620–636 , Boundary value problems for first order differential equations of mixed...

FIRST- AND SECOND-ORDER DYNAMIC EQUATIONS WITH IMPULSE F. M. ATICI AND D. C. BILES Received 3 pdf

... upper solution of the problem (3. 30)– (3. 34) , ,1 , (3. 36) F M Atici and D C Biles 131 Theorem 3. 3 assures that there exists a solution y(t) of the problem (3. 30)– (3. 34) such that y ∈ [α,β] We note ... I(x, y) = x − (3. 29) Next we consider the following boundary value problem: y (t) = f t, y σ (t) , t ∈ [0,1]κ \ , (3. 30) y(0) = 1, y(1) = 0, y y∆ + (3. 31) (3. 32) −y − = −1, (3. 33) 1+ 1− 1− − y∆ ... (3. 8) Now we introduce the concept of lower and upper solutions of problem (3. 1)– (3. 5) as follows F M Atici and D C Biles 127 Deﬁnition 3. 1 The functions α and β are, respectively, a lower and...

Báo cáo khoa học: Cholesterol interaction with the related steroidogenic acute regulatory lipid-transfer (START) domains of StAR (STARD1) and MLN64 (STARD3) ppt

... addresses the question of whether or not the related START domains of StARD1 and StARD3 interact with cholesterol in a similar manner Results Expression of the START domains The recombinant START ... modification The expression levels of STARD1-START and STARD3-START were similar Cholesterol binding of the START proteins In order to verify the cholesterol binding of the START proteins, we used the ... binding of the START domains of the two most related START proteins, STARD1 and STARD3 Both proteins bound the fluorescent cholesterol reporter NBD -cholesterol with high affinity With respect to the...

báo cáo hóa học: " Biomarkers of oxidative stress and its association with the urinary reducing capacity in bus maintenance workers" pptx

... article as: Sauvain et al.: Biomarkers of oxidative stress and its association with the urinary reducing capacity in bus maintenance workers Journal of Occupational Medicine and Toxicology 2011 ... verified by testing the correlation between levels of 8OHdG, reflecting oxidative stress, and the reducing capacity (corresponding to a defense against oxidative stress) in the urine of the particle-exposed ... oxidative stress The observed increase of reducing species in urine would mirror an increased level in blood originating from a response to oxidative stress in the body monitored by the urinary 8OHdG...

báo cáo hóa học:" Meaning in life in the Federal Republic of Germany: results of a representative survey with the Schedule for Meaning in Life Evaluation (SMiLE)" ppt

... investigated MiL in a representative survey of the German population with an individualized assessment tool, the Schedule for Meaning in Life Evaluation (SMiLE) In the open answers, 13 MiL categories ... Quality of Life s1 sn satisfaction with each MiL area SEIQoL Schedule for the Evaluation of Individual Quality of Life Page of (page number not for citation purposes) Health and Quality of Life ... Rhineland-Palatinate, Saarland; 3b) Baden-Wuerttemberg; 4) Bavaria; 5) Berlin; 6) Mecklenburg-Western Pommerania, Brandenburg, Saxony-Anhalt; and 7) Thuringia, Saxony The Schedule for Meaning in Life Evaluation...

Báo cáo y học: " Intramuscular electroporation with the pro-opiomelanocortin gene in rat adjuvant arthritis" doc

... ACTH concentrations during intramuscular electroporation gene therapy In summary, these data indicate that intramuscular electroporation with the gene encoding POMC can mediate potent antinociceptive ... Fig 3) Inhibition of paw swelling in CFA rats To determine the anti-inflammatory effects caused by intramuscular electroporation gene therapy with POMC, we measured paw swelling in CFA rats in subgroups ... http://arthritis-research.com/content/6/1/R7 mineral oil) intradermally into the plantar surface of the left hindpaw at day after intramuscular injection and electroporation Adjuvant was injected into rats under anaesthesia in a Plexiglas...

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