nonhomogeneous partial differential equation with mixed boundary conditions

... J J Nieto, “Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID ... differential equation with integral boundary conditions, ” Boundary Value Problems, vol 2011, Article ID 720702, 20 pages, 2011 25 M Feng, D Ji, and W Ge, “Positive solutions for a class of boundary- value ... that boundary value problems 1.5 has at least one positive solution x with r ≤ x ≤ R The proof is complete Discussion In this section, we offer some interesting discussion associated with boundary...

Ngày tải lên: 21/06/2014, 05:20

... for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, p 11, 2009 Boundary Value ... BVPs for nth-order impulsive differential equations with fixed moments Consider the following nth-order impulsive differential equations with integral boundary conditions: xn t −Δx n−1 |t x x ··· f ... “Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian,” Nonlinear Analysis Theory, Methods & Applications, vol 70, no 9, pp 3119–3126, 2009 18 Boundary...

Ngày tải lên: 21/06/2014, 16:20

... integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, 11 pages, 2009 12 Z Bai, “On positive solutions of a nonlocal fractional boundary ... positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and obtained some easily verifiable sufficient criteria The interesting ... associated with boundary value problem P Lemma 2.1 Assume that boundary value problem h t tα−1 dt / Then for any y ∈ C 0, , the unique solution of Dα x t x x y t 0, 0

Ngày tải lên: 21/06/2014, 16:20

... satisfies the equation in problem 1.1 for t / tj , a.e t ∈ 0, T , the limits u tj , u t− , and j Boundary Value Problems j 1, 2, , p exist, and impulsive conditions and boundary conditions in ... Value Problems 16 J Sun and H Chen, “Variational method to the impulsive equation with Neumann boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 316812, 17 pages, 2009 17 D ... 255–265, 2009 13 H Zhang and Z Li, “Variational approach to impulsive differential equations with periodic boundary conditions, ” Nonlinear Analysis Real World Applications, vol 11, no 1, pp 67–78,...

Ngày tải lên: 21/06/2014, 11:20

... m-point boundary value problems,” Boundary Value Problems, vol 2009, Article ID 191627, 13 pages, 2009 J R Graef and J R L Webb, “Third order boundary value problems with nonlocal boundary conditions, ” ... ⎪ ⎨ v if u ≥ v ≥ 0, ⎪ v ⎪ ⎪ ⎩ u if v ≥ u ≥ b f t, v, v , 1.6 Boundary Value Problems Boundary value problems with integral boundary conditions arise in variety of different areas of applied mathematics ... fourth-order differential equations with integral boundary conditions, ” Journal of Computational and Applied Mathematics, vol 222, no 2, pp 561–573, 2008 14 C Corduneanu, Integral Equations and Applications,...

Ngày tải lên: 21/06/2014, 11:20

... boundary value problems,” Boundary Value Problems, vol 2006, Article ID 23875, 12 pages, 2006 G Infante and P Pietramala, “A cantilever equation with nonlinear boundary conditions, ” Electronic ... example with continuously distributed positive measures Example 3.3 Consider the differential equation u4 t f t, u t , t ∈ 0, , 3.12 with the BCs u 0, u 0, u 1 α1 u s ds , H1 u α2 u s ds H2 0, 3.13 with ... Graef and J Henderson, “Double solutions of boundary value problems for 2mth-order differential equations and difference equations,” Computers & Mathematics with Applications, vol 45, no 6–9, pp 873–885,...

Ngày tải lên: 21/06/2014, 11:20

... equations and their relation with boundaryvalue problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23 On the other hand, boundary- value problems with integral boundary conditions ... comparing with 39–43 , we discuss the impulsive boundary value problem with integral boundary conditions, that is, problem 1.6 includes fourth-order two-, three-, multipoint, and nonlocal boundary ... some Boundary Value Problems sufficient conditions for the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary...

Ngày tải lên: 21/06/2014, 16:20

... variational method To the best of our knowledge, there Boundary Value Problems is no paper concerned impulsive differential equation with Neumann boundary conditions via variational method In addition, ... differential equations with anti-periodic boundary conditions, ” Nonlinear Analysis: Theory, Methods & Applications, vol 69, no 10, pp 3291–3298, 2008 J Li, J J Nieto, and J Shen, “Impulsive periodic boundary ... equations with periodic boundary conditions, ” Nonlinear Analysis: Real World Applications In press 21 G Bonanno and G D’Agu`, “A Neumann boundary value problem for the Sturm-Liouville equation, ” ı Applied...

Ngày tải lên: 21/06/2014, 20:20

... differential equations with nonlinear boundary conditions, Appl Math Comput 153 (2004), no 3, 793– 802 T Jankowski, Monotone iterative technique for differential equations with nonlinear boundary conditions, ... Ordinary differential equations with nonlinear boundary conditions, Georgian Math J (2002), no 2, 287–294 , Existence of solutions of boundary value problems for differential equations with delayed arguments, ... differential equations with periodic boundary value conditions, Comput Math Appl 40 (2000), no 4-5, 433–442 , Remarks on periodic boundary value problems for functional differential equations, J...

Ngày tải lên: 23/06/2014, 00:20

... order differential conclusions with m-point boundary conditions, J Nonlinear Convex Anal to appear [6] C Castaing, P Raynaud de Fitte and M Valadier, Young measures on Topological Spaces With ... a second order differential inclusion which has been studied by many authors We refer to [1, 5, 13] and references therein dealing with boundary value problem in interger order differential inclusion ... functional differential equations of arbitrary orders, Nonlinear Anal 33 (1998), 181-186 [11] A M A El-Sayed, Sh A Abd El-Salam, Nonlocal boundary value problem of a fractional-order functional differential...

Ngày tải lên: 26/10/2015, 14:00

... [1-5] First-order abstract partial differential equations with impulses are treated in [6-9] The literature related to ordinary and partial functional differential equations with delay for which p(t, ... related to partial functional differential equations with state-dependent delay is limited, to our knowledge, to the recent works [21,22] The study of impulsive partial functional differential equations ... applications to partial differential equations, In Applied Mathematical Sciences, Volume 44, Springer-Verlag, New York, (1983) 24 Y Hino, S Murakami and T Naito, Functional differential equations with infinite...

Ngày tải lên: 29/10/2015, 14:19

Ngày tải lên: 12/06/2014, 16:17

... singular boundary- value problems Comput Phys Comm 158, 12–25 (2004) doi:10.1016/j.comphy.2003.11.003 14 Ahmad, B: A quasilinearization method for a class of integro -differential equations with mixed ... quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions Nonlinear Anal Real World Appl 8, 174–186 (2007) doi:10.1016/j ... approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions Nonlinear Anal 69, 3291–3298 (2008) doi:10.1016/j.na.2007.09.018...

Ngày tải lên: 20/06/2014, 22:20

... (1) = (such as BVP (1.1)) with b = It is a well-known fact that the boundary value problems with Sturm–Liouville boundary value conditions for integral order differential equations have important ... for fractional differential equations with multipoint boundary conditions Commun Nonlinear Sci Numer Simulat 17, 1142–1148 (2012) [19] Chai, G: Existence results for boundary value problems of ... nonlinear fractional differential equations with integral boundary conditions Comput Math Appl 63, 288–297 (2012) [23] Agarwa, RP, Ahmad, B: Existence theory for anti-periodic boundary value problems of...

Ngày tải lên: 21/06/2014, 17:20

... 2 Boundary Value Problems mixed boundary conditions as we will consider in this paper Dobrushin boundary conditions are the two-component boundary conditions, which are defined ... the relaxation phenomena of the model with some kind of Dobrushin boundary conditions In this paper, we study the Ising model with four classes mixed boundary conditions in a finite square of side ... N/2 1, , N/2, see 4.5 becomes minus boundary boundary conditions of BN i for i conditions instead of plus boundary conditions For this case of minus boundary condition, we can get similar...

Ngày tải lên: 21/06/2014, 20:20

... equations,” Nonlinear Analysis, vol 51, no 7, pp 1223–1232, 2002 [24] C Bai, “Existence of solutions for second order nonlinear functional differential equations with periodic boundary value conditions, ” ... He and X Zhang, “Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions, ” Applied Mathematics and Computation, vol 156, no 3, pp 605–620, 2004 ... paper, we investigate the following second-order impulsive nonlinear differential equations with periodic boundary value conditions problem: u (t) = f t,u(t),u (t) , t ∈ [0,T], t = t1 , + − u t1 =...

Ngày tải lên: 22/06/2014, 19:20

... Dirichlet boundary condition is satisfied Dirichlet boundary conditions are also called essential boundary conditions, and Neumann boundary conditions are also called natural boundary conditions ... The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time The equations ... respectively Boundary Conditions These are specified by either a Boundary Condition matrix, or a Boundary M-file Boundary conditions are given as functions on boundary segments A Boundary Condition...

Ngày tải lên: 26/01/2014, 02:20

... operating in typical European regions with difficult boundary conditions with regard to water use All methods mentioned are therefore adapted to these specific conditions Their implementation is ... PAPERBREF1 is the water management concept about how to operate mills with minimum water use in European regions with difficult boundary conditions This concept is based upon studies performed in 30 ... CONCEPT Page 17 of 23 CONCLUSIONS Paper mills, located in regions with difficult boundary conditions, should be able to work with minimum fresh water consumption by applying the combination of...

Ngày tải lên: 01/04/2014, 00:20

... characteristic equation for Equation 1.9 (note that it is a scalar equation) The values of λ that satisfy Equation 1.10 are the eigenvalues of Equation 1.9 For the 2x2 problem of Equations 1.8, Equation ... positive constants Equation 1.3 is termed a first-order, linear, ordinary differential equation with variable coefficients These terms are explained below Term Explanation Differential equation Ordinary ... (1.26c) p With a little algebra, we can easily show that yi+1 of Equation 1.25 and yi+1 of Equation 1.26c are the same While Equation 1.25 and Equations 1.26c are mathematically equivalent, Equations...

Ngày tải lên: 08/04/2014, 10:27

... systems with nonlinear boundary conditions J Differential Equations 166, 251–265 (2000) doi:10.1006/jdeq.2000.3784 13 Wang, S: Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary ... reaction–diffusion systems with nonlinear boundary conditions J Math Anal Appl 231, 21–33 (1999) doi:10.1006/jmaa.1998.6220 11 Wang, MX: Fast-slow diffusion systems with nonlinear boundary conditions Nonlinear ... quasilinear equations with nonlinear boundary conditions Acta Math Sinica (in Chinese) 39, 118–124 (1996) Wang, MX, Wang, YM: Reaction diffusion systems with nonlinear boundary conditions Sci China...

Ngày tải lên: 21/06/2014, 02:20