Báo cáo toán học: "Applying Fixed Point Theory to the Initial Value Problem for the Functional Differential Equations with Finite Delay " pot
Báo cáo toán học: "Applying Fixed Point Theory to the Initial Value Problem for the Functional Differential Equations with Finite Delay " pot
... 0ast→∞}.Vietnam Journal of Mathematics 35:1 (2007) 43–60Applying Fixed Point Theory to the Initial Value Problem for the Functional Differential Equations with Finite Delay Le Thi Phuong NgocEducational ... BC[0, ∞), the equation Lx = f has a uniquesolution. Fixed Point Theory for the Functional Differential Equations with Finite Delay 59Finally, we need only to prove that for eachh with ||h|| ... real-valued function, the functions Q : R × R → Rand G : R × R × R → R are continuous. In the process, the authors used Fixed Point Theory for the Functional Differential Equations with Finite Delay...
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Báo cáo toán học: "A Fixed Point Theorem for Nonexpansive Mappings in Locally Convex Spaces" ppt
... fixed point theorem for a nonexpansive mapping in a locally convex space and apply it to get an analogous result for probabilistic normed spaces.2. Fixed Point Theorems2.1. A Fixed Point Theorem ... like to take this opp ortunity to thank Prof.Do Hong Tan for his suggestion.References1. K. Goebel and W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridgestudies in advanced mathematics, ... conditions in Theorem 1 with E =(X, {pλ}) corresponding to (X, F, min), so T has a fixed point and the setFixT of fixed points of T is convex and the theorem follows.Acknowledgements. The author...
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Báo cáo hóa học: " A fixed-point approach to the stability of a functional equation on quadratic forms" doc
... fixed point approach to the stability of quadratic functional equation. Bull Korean MathSoc. 43, 531–541 (2006)9. Jung, S-M, Lee, Z-H: A fixed point approach to the stability of quadratic functional ... KoreaFull list of author information isavailable at the end of the articleAbstractUsing the fixed- point method, we prove the generalized Hye rs-Ulam stability of the functional equationf (x ... y) for all x, y Î X and all n Î N, that is, d(Tnf, Tn+1f) ≤ Ln+1<∞ for all n Î N.Bythe fixed- point alternative, there exists a natural number n0such that the mapping F is the unique fixed...
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Báo cáo hóa học: " A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces" pptx
... al. Fixed Point Theory and Applications 2011, 2011:67http://www.fixedpointtheoryandapplications.com/content/2011/1/67Page 12 of 14 for all x Î X and t >0.Proof. The proof is similar to the ... ϕ(x, y)(16) for all x, y Î X and all t >0. Then the limitA(x):=N - limn→∞mnfxmnKenary et al. Fixed Point Theory and Applications 2011, 2011:67http://www.fixedpointtheoryandapplications.com/content/2011/1/67Page ... and the inequalityKenary et al. Fixed Point Theory and Applications 2011, 2011:67http://www.fixedpointtheoryandapplications.com/content/2011/1/67Page 6 of 14RESEARCH Open AccessA fixed point...
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Báo cáo hóa học: " Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation" potx
... ≥ 0, that is, T : S → S. According to Schauder fixed- point theorem, the operator T has at least a fixed -point ut ∈ S,0≤ t ≤ 1. Therefore the boundary value problem 1.2 has at least one solution ... singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone term.Moreover, the existence of maximal and minimal solutions for the problem is also ... < 1, the operator T is the contraction mapping. Then by Banachcontraction fixed -point theorem, the boundary value problem 1.2 has a unique positivesolution ut ∈ S.12 Boundary Value Problems26...
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Báo cáo hoa học: "Research Article Solutions of 2nth-Order Boundary Value Problem for Difference Equation via Variational Method" pot
... that the variational technique combining with the critical point theory 11 developed in the recent decades is one of the effective ways to study the boundary value problems of difference equations. ... BVP to the existence of critical points for the functional. Some criteria for the existence of at least onesolution and two solutions are established which is the generalization for BVP of the ... because the variational methodrequires a “symmetrical” functional, it is hard for the odd-order difference equations to createa functional satisfying the “symmetrical” property. Therefore, the even-order...
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Báo cáo hóa học: " Research Article Three Solutions to Dirichlet Boundary Value Problems for p-Laplacian Difference Equations" docx
... various fixed point theorems in cone; see 1–4 and references therein for details. It is well known that criti-cal point theory is an important tool to deal with the problems for differential equations. L. ... attentions to applying critical point theory to deal with problems for nonlinear second discrete systems; we refer to 5–9.Butallthese systems do not concern with the p-Laplacian. For the reader’s ... with x0xT 10. That is, a critical point of the functional Φ − λJcorresponds to a solution of the problem 1.1. Thus, we reduce the existence of a solution for the problem 1.1 to the...
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Báo cáo khoa học: "Clostridium difficile-associated diarrhea in radiooncology: an underestimated problem for the feasibility of the radiooncological treatment" doc
... single room with a separatebathroom. Gloves and special gowns were used by the staff dealing with the patients on the ward and the staffdealing with the patient at the linear accelerator. Addi-tional ... Addi-tional hand hygiene with water and soap for all personsexiting the isolation room was performed as well as for the staff dealing with the patient at the linear accelera-tor. Surface disinfection ... immunoassay.Since 2009 for all patients a stool sample was cultured for toxigenic CD additional ly to the enzymeimmunoassay.All patients with positive findings for CD toxin A or Bhad clinical symptoms of...
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Báo cáo toán học: " Common fixed points and best approximations in locally convex spaces" ppt
... [23]),(b) either f - T is demiclosed at 0 or X is an Opial’s space.Then, f and T have a common fixed point. Al-Mezel Fixed Point Theory and Applications 2011, 2011:99http://www.fixedpointtheoryandapplications.com/content/2011/1/99Page ... within the fi eld7 Retaining the copyright to your article Submit your next manuscript at 7 springeropen.comAl-Mezel Fixed Point Theory and Applications 2011, 2011:99http://www.fixedpointtheoryandapplications.com/content/2011/1/99Page ... condition [17].Al-Mezel Fixed Point Theory and Applications 2011, 2011:99http://www.fixedpointtheoryandapplications.com/content/2011/1/99Page 3 of 914. Jungck, G: On a fixed point theorem of Fisher...
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Báo cáo toán học: " Common fixed points and best approximations in locally convex spaces" potx
... [23]),(b) either f - T is demiclosed at 0 or X is an Opial’s space.Then, f and T have a common fixed point. Al-Mezel Fixed Point Theory and Applications 2011, 2011:99http://www.fixedpointtheoryandapplications.com/content/2011/1/99Page ... within the fi eld7 Retaining the copyright to your article Submit your next manuscript at 7 springeropen.comAl-Mezel Fixed Point Theory and Applications 2011, 2011:99http://www.fixedpointtheoryandapplications.com/content/2011/1/99Page ... (1991)Al-Mezel Fixed Point Theory and Applications 2011, 2011:99http://www.fixedpointtheoryandapplications.com/content/2011/1/99Page 8 of 914. Jungck, G: On a fixed point theorem of Fisher...
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