... Order BoundaryValueProblems This section is devoted to the study of the second order boundaryvalue problem (BVP) Heikkilä BoundaryValueProblems 2011, 2011:24 http://www.boundaryvalueproblems.com/content/2011/1/24 ... singular nonlinear distributional and impulsive initialandboundaryvalueproblemsBoundaryValueProblems 2011 2011:24 Submit your manuscript to a journal and benefit from: Convenient online ... phi-Laplacian initialandboundaryvalueproblems Int J Pure Appl Math 17(1), 119–138 (2004) 15 Heikkilä, S, Seikkala, S: On singular, functional, nonsmooth and implicit phi-Laplacian initialand boundary...
... nonlinear boundaryvalueproblems for the oneu dimensional p-Laplacian, Appl Math Lett 14 (2001), no 2, 189–194 214 [10] [11] Discrete initialandboundaryvalueproblems R Man´ sevich and F Zanolin, ... Discrete initialandboundaryvalueproblems Example 2.2 Consider the boundaryvalue problem ∆2 u(k − 1) = k β α + u(k) − A, u(k) u(0) = u(T + 1) = k ∈ N, (2.23) with p = 2, α > 0, ≤ β < 1, and A ... Agarwal and D O’Regan, Nonpositone discrete boundaryvalue problems, Nonlinear Anal 39 (2000), no 2, 207–215 R P Agarwal, D O’Regan, and V Lakshmikantham, Existence criteria for singular initial value...
... principles andboundaryvalue problems, mathematical models in engineering, biology and medicine,” in Proceedings of the International Conference on BoundaryValue Problems, A Cabada, E Liz, and J ... existence and uniqueness of solutions of boundaryvalueproblems for these equations without the standard assumption about smallness of the norms of the operators A and B Journal of Inequalities and ... g t for t ∈ 0, ∞ Maximum Boundaries Principles in Existence and Uniqueness of BoundaryValueProblems Consider the boundaryvalueproblems of the following type Mx t ≡ x t − Sx t − Ax t lx c,...
... one, hand side, the moments of type μn and on the other hand the moments of type μn and by comparing 2.26 and 2.30 , we see that here, the mentioned isometry situation is matched—provided the initial ... suitable time scales This might be of ¨ importance for applications and numerical investigations of the underlying eigenvalue and spectral problems Let us therefore restrict to the purely discrete case, ... 2002 X.-M Liu and C Quesne, “Even and odd q-deformed charge coherent states and their nonclassical properties,” Physics Letters A, vol 317, no 3-4, pp 210–222, 2003 K A Penson and A I Solomon,...
... 1.8 and 3.5 and Chapter gives a very applied flavor Chapter reviews solution techniques and theory of ordinary differential equations andboundaryvalueproblems Equilibrium forms of the heat and ... Nonhomogeneous Linear Equations 14 BoundaryValueProblems 26 Singular BoundaryValueProblems 38 Green’s Functions 43 Chapter Review 51 Miscellaneous Exercises 51 Fourier Series and Integrals 59 1.1 1.2 ... BOUNDARYVALUEPROBLEMS FIFTH EDITION This page intentionally left blank BOUNDARYVALUEPROBLEMSAND PARTIAL DIFFERENTIAL EQUATIONS DAVID L POWERS...
... Henderson and A Peterson, Boundaryvalueproblems for functional difference equations,” Applied Mathematics Letters, vol 9, no 3, pp 57–61, 1996 S J Yang, B Shi, and M J Gai, Boundaryvalueproblems ... J Yang, B Shi, and D C Zhang, “Existence of positive solutions for boundaryvalueproblems of nonlinear functional difference equation with p-Laplacian operator,” BoundaryValue Problems, vol 2007, ... of Pure and Applied Mathematics, vol 36, no 12, pp 685–705, 2005 X Deng and H Shi, “On boundaryvalueproblems for second order nonlinear functional difference equations,” Acta Applicandae Mathematicae,...
... Mathematical Models and Finite Elements for Reservoir Simulation, NorthHolland, Amsterdam, The Netherlands, 1986 W X Shen and S M Zheng, “Nonlocal initial- boundaryvalueproblems for nonlinear ... Tan, and W Shen, BoundaryValueProblems with Equivalued Surface and Resistivity Well-Logging, vol 382 of Pitman Research Notes in Mathematics Series, Longman, Harlow, UK, 1998 G Chavent and J ... China no: 060275 and Foundation of Maths X of DLUT References W X Shen, “On mixed initial- boundaryvalueproblems of second order parabolic equations with equivalued surface boundary conditions,”...
... Solonnikov, and N N Uralzeva, Linear and Quasi-Linear Equations of Parabolic Type, American Mathematical Society, Rhode Island, 1968 [6] J.-L Lions and E Magenes, Non-Homogeneous BoundaryValueProblems ... S D Eidelman and N V Zhitarashu, Parabolic BoundaryValue Problems, Operator Theory: Advances and Applications, vol 101, Birkh¨ user, Basel, 1998 a [3] G Grubb, Parameter-elliptic and parabolic ... parabolic initial- boundaryvalueproblems These spaces as well as the solvability have been investigated by Slobodecki˘ [9], Agranoviˇ and Viˇik [1], V ı c s A Solonnikov (see, e.g., [5]), Lions and...
... to BoundaryValueProblems December 7, 2011 Introduction Initialandboundaryvalueproblems of ordinary differential equations play an important role in many fields Various applications of boundary ... Solving singular second-order initial/ boundaryvalueproblems in reproducing kernel Hilbert space Er Gao*, Songhe Song** and Xinjian Zhang*** Department of Mathematics and Systems Science, College ... 0, 𝑐2 ∕= 0, (1.3) the problems are two-point BVPs; if 𝑏1 = 𝑐1 = 𝑎2 = 𝑏2 = 0, the problems are initialvalue problems; if 𝑏1 = 𝑎2 = 0, 𝑎1 = 𝑐1 ∕= 0, 𝑏2 = 𝑐2 ∕= 0, (1.4) the problems are periodic...
... h Î ℂs and a.e (x, t) Î QT In this article, we study the following problem: ut + L(x, t; D)u = f in QT , (2) Luong and Loi BoundaryValueProblems 2011, 2011:56 http://www.boundaryvalueproblems.com/content/2011/1/56 ... with respect to t from to τ,
... ∩ ∂Ω1 and ||Tu|| ≥ ||u||, ∀u Î P ∩ ∂Ω2, or (ii) ||Tu|| ≥ ||u||, ∀u Î P ∩ ∂Ω1 and ||Tu|| ≤ ||u||, ∀u Î P ∩ ∂Ω2 Li and Dong BoundaryValueProblems 2011, 2011:59 http://www.boundaryvalueproblems.com/content/2011/1/59 ... O2 i=1 |ϕi | < l1 and t Î I, M3 + ε q1 (t) |ϕi | λ i=1 Li and Dong BoundaryValueProblems 2011, 2011:59 http://www.boundaryvalueproblems.com/content/2011/1/59 Page 13 of 18 And since 2 Ai v(t) ... σ (T) σ (T) u(s)B1 (s) s (2:13) Li and Dong BoundaryValueProblems 2011, 2011:59 http://www.boundaryvalueproblems.com/content/2011/1/59 Page of 18 By (2.12) and (2.13), we get σ (T) K11 D21 u(s)A1...
... illustrate that boundaryvalueproblems with integral boundary conditions on time scales also cover two-point, three-point, , n-point boundaryproblems as the nonlocal boundaryvalueproblems in the continuous ... constitute a very interesting and important class of problems They include two-point, three-point, multipoint and nonlocal boundaryvalueproblems as special cases [[21-24], and the references therein] ... solutions for boundaryvalueproblems with integral boundary conditions on time scales Motivated by the statements above, in this paper, we are concerned with the following boundaryvalue problem...
... is also continuous and nondecreasing and satisfies ψ(u) > for u > and ψ(0) = Consequently, φ ∈ J Caballero et al BoundaryValueProblems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 ... (10) Caballero et al BoundaryValueProblems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 In this case, the boundaryvalue problem is nonautonomous, and thus, this problem ... Caballero et al BoundaryValueProblems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions...
... is also continuous and nondecreasing and satisfies ψ(u) > for u > and ψ(0) = Consequently, φ ∈ J Caballero et al BoundaryValueProblems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 ... (10) Caballero et al BoundaryValueProblems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 In this case, the boundaryvalue problem is nonautonomous, and thus, this problem ... Caballero et al BoundaryValueProblems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions...
... equation,” A Neamaty and R Darzi use the variational iteration method together with the homotopy perturbation method to solve Sturm-Liouville eigenvalue andboundaryvalue problems, since these ... 2 BoundaryValueProblems In the third paper, “Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville ... solution in finite time for all initial data is obtained, and the blowup of time derivatives at the quenching point is verified In the fifth paper, “The boundaryvalue problem of the equations with...
... point boundaryvalue problems, ” Applied Mathematics and Computation, vol 180, no 1, pp 318–329, 2006 H Liang and P Weng, “Existence and multiple solutions for a second-order difference boundaryvalue ... B Zheng and Q Zhang, “Existence and multiplicity of solutions of second-order difference boundaryvalue problems, ” Acta Applicandae Mathematicae, vol 110, no 1, pp 131–152, 2010 X Cai and J Yu, ... radius r, and let ∂Br denote its boundary Lemma 2.6 Mountain Pass Lemma 10, 11 Let E be a real Banach space and J ∈ C1 E, Ê satisfying the (PS) condition Suppose that J 0 andBoundaryValue Problems...