existence and uniqueness of a solution

... Journal of Differential Equations, vol 180, no 1, pp 51–64, 2002 3 R Kannan and V Lakshmikantham, ? ?Existence of periodic solutions of nonlinear boundary value problems and the method of upper and ... upper and lower boundaries and using Leray-Schauder degree theory, we present a result about the existence and uniqueness of a periodic solution for secondorder ordinary differential equations ... 7 R Ortega and M Tarallo, “Almost periodic upper and lower solutions,” Journal of Differential Equations, vol 193, no 2, pp 343–358, 2003 Boundary Value Problems 11 8 I Rachunkov´ a and M Tvrdy,

Ngày tải lên: 14/07/2023, 09:44

... beams which rest on an elastic foundation has received increased attention in a wide range of fields of engineering, because of its practical design applications, say, to highways and railways ... of a linear elastic beam resting on a linear elastic foundation and subjected to lateral forces, was investigated by many techniques [1–8] In contrast to the problem of beams on linear foundation, ... Boundary Value Problems This Provisional PDF corresponds to the article as it appeared upon acceptance Fully formatted PDF and full text (HTML) versions will be made available soon Existence and uniqueness

Ngày tải lên: 20/06/2014, 20:20

... Continuous and Discrete Boundary Value Problems Chengjun Yuan, 1, 2 Daqing Jiang, 1 and You Zhang 1 1 School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, China ... equations,” Nonlinear Analysis Theory, Methods & Applications, vol 28, no 2, pp 277–287, 1997 12 R P Agarwal and. .. Agarwal and D O’Regan, Existence theory for single and multiple solutions ... Li, Existence and uniqueness of solutions. .. Xue, and W Ge, “Triple solutions for a higher- order difference equation,” Journal of Inequalities in Pure and Applied Mathematics,

Ngày tải lên: 22/06/2014, 06:20

... ∈  a, σ 2 (b)  . (2.6) Proof. Let M = max{C/α,D/γ,R} and assume that r(t):=y(t) 2 − (M +1) 2 has a nonnegative maximum at t = a. Then r ∆ (a) =  y (a) +y σ (a) , y ∆ (a)  =  2y (a) +µ (a) y ... continuous and it can be shown that T is a compact oper- ator by the Arzela-Ascoli theorem. Therefore, Theorem 1.8 is applicable to T and T must have a fixed point. Hence the BVP has a solution. ... theorems of Section 3. A standard diagonalization argument is also employed. In Sections 6 and 7, some simple maximum principles are used to prove the unique- ness of solutions to (1.12), (1.2 )and( 1.13),

Ngày tải lên: 23/06/2014, 00:20

... P Agarwal, A Cabada, V Otero-Espinar, and S Dontha, Existence and uniqueness of solutions for anti-periodic difference equations, to appear in Arch Inequal Appl M Bohner and A ... by Agarwal et al. [2]andAgarwaletal.[1]giveusanideaoftheimportance of this new field. In this paper, we study the existence and uniqueness of solutions of the following nth- order dynamic equation ... upper solution and on comparison principles of some adequate linear A. Cabada and D. R. Vivero 293 operators, cannot be applied and, as a consequence, extremal solutions do not exist in a given

Ngày tải lên: 23/06/2014, 00:20

... the existence and uniqueness of fuzzy solutions for simple fuzzy heat equations and wave equations with concrete formulation of the solutions Arara et al (2005) considered the local and nonlocal ... conditions Acta Mathematica Universitatis Comenianae, 75(1), 119–126 Arara, A. , Benchohra, M., Ntouyas, S K., & Ouahab, A (2005) Fuzzy solutions for hyperbolic partial differential equations International ... on data and the boundary of the domain New weighted metrics are used 123 The existence and uniqueness of fuzzy solutions and suitable weighted numbers are chosen in order to prove that the existence

Ngày tải lên: 16/12/2017, 08:45

... nonlinear fractional integro-differential equations Dumitru Baleanu1,2,3* , Sayyedeh Zahra Nazemi4 and Shahram Rezapour4 * Correspondence: dumitru@cankaya.edu.tr Department of Chemical and Materials ... Mathematics, Cankaya University, Ogretmenler Cad 14, Balgat, Ankara, 06530, Turkey Institute of Space Sciences, Magurele, Bucharest, Romania Department of Mathematics, Azarbaijan Shahid Madani University, ... Fractional nonlinear differential equations, fractional integro-differential equations and their applications represent a topic of high interest in the area of fractional calculus and its applications

Ngày tải lên: 02/11/2022, 10:38

... qijianmingdaxia@163.com 1 Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, PR China Full list of author information is available at the end of the article Abstract ... equation and uniqueness of difference polynomial. Journal of Inequalities and Applications 2011 2011:50. Qi et al. Journal of Inequalities and Applications 2011, 2011:50 http://www.journalofinequalitiesandapplications.com/content/2011/1/50 ... China 2 Department of Mathematics, Shandong University, Jinan 250100, PR China Authors’ contributions JQ drafted the manuscript and have made outstanding contributions to this paper. JD and TZ participated

Ngày tải lên: 21/06/2014, 00:20

... College of Aeronautics and Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China Full list of author information is available at the end of the ... in a sense to be established when necessary. Nonlocal BVPs of ordinary differential equations or system arise in a vari- ety of areas of applied mathematics and physics. In recent years, more and ... < ;a <b = c such that (i) {x Î P (a, a,b): a (x)> ;a} ≠ ∅ and a (Ax)> ;a for x Î P (a, a,b); (ii) ||Ax|| <d for ||x|| ≤ d; (iii) a( Ax)> ;a for x Î P (a, a,c) with ||Ax|| >b. Then, A has

Ngày tải lên: 21/06/2014, 02:20

... an analogous way we know there exists at least one negative solution, which is a nontrivial critical point of I − Hence, Equation (1) admits at least a positive solution and a negative ... Science, Hohai University, Nanjing, 210098, P. R. China 2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China ∗ Corresponding author: wang-fanglei@hotmail.com ... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Existence and multiplicity of solutions for a

Ngày tải lên: 21/06/2014, 17:20

... Department of Mathematics, Payame Noor University of Mashhad, Mashhad, Iran Section of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, Agamemnonos ... Quadratic, and Cubic Functional Equation M Eshaghi Gordji,1 S Kaboli Gharetapeh,2 J M Rassias,3 and S Zolfaghari1 Department of Mathematics, Semnan University, P.O Box 35195-363, Semnan, Iran ... f x x2 among its solutions Thus, it has been called quadratic functional equation, and each of its solutions is said to be a quadratic function Hyers-Ulam-Rassias stability for the quadratic functional

Ngày tải lên: 21/06/2014, 20:20

... and A Moudafi, A perturbed algorithm for variational inclusions, ” Journal of Mathematical Analysis and Applications,... International Journal of Mathematics and Mathematical Sciences, ... domonotonicity. Kassay and Kolumb ´ an [17] introduced a system of variational inequal- ities and proved an existence theorem by the Ky Fan lemma. Kassay et al. [18]studied Minty and Stampacchia variational ... Theory and Applications can be modeled as a system of variational inequalities. Ansari et al. [31] introduced and studied a system of vector equilibrium problems and a system of vector variational

Ngày tải lên: 22/06/2014, 19:20

... with a deviating argument,” Journal of Mathematical Analysis and Applications, vol 336, no 2, pp 1107–1123, 2007 S Lu, Existence of periodic solutions to a p-Laplacian Li´ nard differential equation ... deviating argument,” Journal e of Computational and Applied Mathematics, vol 214, no 1, pp 13–18, 2008 W.-S Cheung and J Ren, “Periodic solutions for p-Laplacian Li´ nard equation with a deviating e argument,” ... interest for many mathematicians Especially, there is a large literature see, e.g., 1–7 and references therein about the existence of periodic solutions to the following p-Laplacian equation: f x...

Ngày tải lên: 21/06/2014, 18:20

... estimates on multiple solutions of Lidstone boundary value problems,” Acta Mathematica Hungarica, vol 86, no 1-2, pp 137–168, 2000 16 P J Y Wong and R P Agarwal, “Characterization of eigenvalues ... supported financially by the National Natural Science Foundation of China 10971046 , the Natural Science Foundation of Shandong Province ZR2009AM004 , and the Youth Science Foundation of Shanxi Province ... Agarwal, Difference Equations and Inequalities, vol 155, Marcel Dekker, New York, NY, USA, 1992 R P Agarwal, D O’Regan, and P J Y Wong, Positive Solutions of Differential, Difference and Integral...

Ngày tải lên: 21/06/2014, 18:20

... first order derivative,” Journal of Mathematical Analysis and Applications, vol 290, no 1, pp 291–301, 2004 15 R A Khan and J R L Webb, Existence of at least three solutions of a second-order ... solutions of some semi-positone three-point boundary value problems,” Journal of Mathematical Analysis and Applications, vol 291, no 2, pp 673–689, 2004 30 R P Agarwal, M Meehan, and D O’Regan, ... problems,” Applied Mathematics and Computation, vol 198, no 2, pp 487–493, 2008 X Du and Z Zhao, Existence and uniqueness of positive solutions to a class of singular m-point boundary value problems,”...

Ngày tải lên: 21/06/2014, 18:20

... solution of 1.1 in a Banach space X: A generates a compact semigroup S · of uniformly bounded linear operators on a Banach space X The function a · is real valued and locally integrable on 0, ∞ , and ... Linear Operators and Applications to Partial Differential Equations, vol 44 of Applied Mathematical Sciences, Springer, New York, NY, USA, 1983 27 T.-J Xiao and J Liang, Existence of classical solutions ... Lakshmikantham, “Theory of fractional functional differential equations,” Nonlinear Analysis: Theory, Methods & Applications, vol 69, no 10, pp 3337–3343, 2008 15 V Lakshmikantham and A S Vatsala,...

Ngày tải lên: 21/06/2014, 16:20

... “Well-posedness and approximation methods for a model of magnetogasdynamics,” Izvestiya Akademii Nauk Kazakhsko˘ SSR Seriya Fiziko-Matematicheskaya, no 5, pp ı 17–19, 1986 13 S S Smagulov, A A Durmagambetov, ... Fan, S Jiang, and G Nakamura, “Vanishing shear viscosity limit in the magnetohydrodynamic equations,” Communications in Mathematical Physics, vol 270, no 3, pp 691–708, 2007 11 S Kawashima and ... D Wang, “Global solutions of nonlinear magnetohydrodynamics with large initial data,” Journal of Differential Equations, vol 182, no 2, pp 344–376, 2002 A F Kulikovskiy and G A Lyubimov, Magnetohydrodynamics,...

Ngày tải lên: 22/06/2014, 06:20

... “Well-posedness and approximation methods for a model of magnetogasdynamics,” Izvestiya Akademii Nauk Kazakhsko˘ SSR Seriya Fiziko-Matematicheskaya, no 5, pp ı 17–19, 1986 13 S S Smagulov, A A Durmagambetov, ... Fan, S Jiang, and G Nakamura, “Vanishing shear viscosity limit in the magnetohydrodynamic equations,” Communications in Mathematical Physics, vol 270, no 3, pp 691–708, 2007 11 S Kawashima and ... D Wang, “Global solutions of nonlinear magnetohydrodynamics with large initial data,” Journal of Differential Equations, vol 182, no 2, pp 344–376, 2002 A F Kulikovskiy and G A Lyubimov, Magnetohydrodynamics,...

Ngày tải lên: 22/06/2014, 19:20

... this article as: Zhang et al.: Local existence and uniqueness of solutions of a degenerate parabolic system Advances in Difference Equations 2011 2011:12 Submit your manuscript to a journal and ... Global and nonglobal weak solutions to a degenerate parabolic system J Math Anal Appl 324(1), 177–198 (2006) doi:10.1016/j.jmaa.2005.12.012 Okubo, A: Diffusion and Ecological Problems: Mathematical ... gradients of solutions to degenerate parabolic systems Discr Contin Dyn Syst 26(2), 597–608 (2010) 14 Ladyzenskaja, OA, Solonnikov, VA, Ural’ceva, NN: Linear and quasilinear equations of parabolic...

Ngày tải lên: 21/06/2014, 03:20

... China 10871116 , the Natural Science Foundation of Shandong Province Q200 8A0 3 and the Doctoral Program Foundation of Education Ministry of China 200804460001 References X Du and Z Zhao, A necessary ... Y Zhang, “Positive solutions of singular sublinear Emden-Fowler boundary value problems,” Journal of Mathematical Analysis and Applications, vol 185, no 1, pp 215–222, 1994 P Hartman, Ordinary ... Remark 4.2 Condition H includes e-concave function see as special case For example, Liu and Yu consider the existence and uniqueness of positive solution to a class of singular boundary value...

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