... Degenerate elliptic equations, diagonal systems and variational integrals Manuscripta Math 55, 467–486 (1986) doi: 10. 100 7/BF01186659 Rutkauskas, S: On thefirstboundaryvalueproblemforthe class ... the class of bounded functions Lithuanian Math J 44(1), 85– 104 ( 200 4) doi: 10. 102 3/B:LIMA .00000 198 60. 483 10. 6b Rutkauskas, S: On the Dirichlet problem with an asymptotic condition for an elliptic ... |m|≤n ofthe particular solutions obtained above Note, if αk0 = for some k0, ≤ k0 ≤ s -1, then ak = for all natural k ≤ k0 - (Such a situation can come to exist, if a < 2.) Therefore, all the sums...
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... non-smooth base Nonlinear Anal TMA 70, 741–756 ( 200 9) doi: 10. 101 6/j.na. 200 8 .01 .00 7 Kokotov, A, Plamenevskii, BA: On the asymptotic on solutions to the Neumann problemfor hyperbolic systems in domain ... Singularities, Mathematical Surveys and Monographs vol 85 American Mathematical Society, Providence, Rhode Island (1997) Hung, NM: Asymptotic behaviour ofsolutionsofthefirst boundary- valueproblemfor ... k (3: 20) Hung et al BoundaryValue Problems 201 1, 201 1:17 http://www.boundaryvalueproblems.com/content/ 201 1/1/17 Page of 18 From these equalities together with the initial (3.6) and the assumption...
... 225–2 30, 200 3 e e S Tersian and J Chaparova, “Periodic and homoclinic solutionsof extended Fisher-Kolmogorov equations, ” Journal of Mathematical Analysis and Applications, vol 2 60, no 2, pp 4 90 506 , ... 4 90 506 , 200 1 Y Li, “Positive solutionsof fourth-order boundaryvalue problems with two parameters,” Journal of Mathematical Analysis and Applications, vol 281, no 2, pp 477–484, 200 3 S Fan, The ... show that μAu / u for any u ∈ ∂Kr and μ ≥ In fact, if there exist u0 ∈ ∂Kr and 0 ≥ such that 0 Au0 u0 , then u0 t satisfies 3.2 and boundary 1.7 From 3.2 and 3.16 , it follows that 1 u0 t sin...
... Analysis and Applications, vol 322, no 2, pp 629–644, 200 6 12 BoundaryValue Problems H Wenhua, A minimax theorem forthe quasi-convex functional and the solution ofthe nonlinear beam equation,” ... this paper to achieve their research References S A Tersian, A minimax theorem and applications to nonresonance problems for semilinear equations, ” Nonlinear Analysis: Theory, Methods & Applications, ... Applications, vol 63, no 8, pp 1199–1214, 200 5 H Wenhua, “Minimax theorems and applications to the existence and uniqueness ofsolutionsof some differential equations, ” Journal of Mathematical...
... because the variables of these equations have different meaning The variables ofthe Navier-Stokes equations are thermodynamical parameters while the variables ofthe Boltzmann equations or the ... considering the wide range of practical applications oftheequations As a result, the study ofthe Navier-Stokes equations becomes one ofthe most popular areas of modern mathematics In this thesis, ... properties forthe Laplace transformation and inverse Laplace transformation in the next section 3.3 Laplace transformation and inverse Laplace transformation In order to calculate the Dirichlet-Neumann...
... Rosario, Argentina 4Facultad de Ingenier a, Universidad Nacional de Salta, Buenos Aires 144, 4 400 Salta, Argentina Salva et al BoundaryValue Problems 201 1, 201 1:4 http://www.boundaryvalueproblems.com/content/ 201 1/1/4 ... details CONICET, Rosario, Argentina 2TEMADI, Centro Atómico Bariloche, Av Bustillo 9 500 , 8 400 Bariloche, Argentina 3Depto de Matemática, Universidad Austral, Paraguay 19 50, S 200 0FZF Rosario, Argentina ... boundaryproblemforthe heat equation as a generalization ofthe moving boundaryproblemforthe classical heat equation [13] which can be useful in the study of free boundary problems forthe heat-diffusion...
... Kilbas, H M Srivastava, and J J Trujillo, Theory and Applications of Fractional Differential Equations, vol 204 of North-Holland Mathematics Studies, Elsevier, Amsterdam, The Netherlands, 200 6 The ... nonlocal boundaryvalue problems of nonlinear integro-differential equationsof fractional order,” Applied Mathematics and Computation, vol 217, no 2, pp 4 80 487, 201 0 15 B Ahmad and S Sivasundaram, ... 2 601 – 2 609 , 201 0 19 R P Agarwal and B Ahmad, “Existence ofsolutions for impulsive anti-periodic boundaryvalue problems of fractional semilinear evolution equations, ” to appear in Dynamics of...
... including authors such as Artstein 2, , Gaitsgory et al 4–6 Such boundaryvalue problems can also arise in the study ofthe steady-states ofa heated bar with the thermostats, where the controllers at ... dependence on the first order derivative,” Journal of Mathematical Analysis and Applications, vol 2 90, no 1, pp 291– 301 , 200 4 14 R A Khan, “Positive solutionsof four-point singular boundaryvalue problems,” ... Elsevier, Amsterdam, The Netherlands, 1st edition, 200 6 10 K W Chang and F A Howes, Nonlinear Singular Perturbation Phenomena: Theory and Applications, vol 56 of Applied Mathematical Sciences,...
... Balint and A M Balint 11 1.5 p 555 Pa p p 100 0 Pa 664.3 Pa α rad 1.25 p p 700 Pa 900 Pa 0. 75 0. 5 3.5 4.5 5.5 6.5 r m Figure 3: α versus r for p × 10 4 555, 664.3, 700 , 900 , 100 0 Pa × 10 4 p 100 0 Pa ... Pa Numerical integration 10 ofthe IVP 2. 10 illustrates the above phenomenon for p 11 50, 11 60 Pa and also the fact that the condition is not necessary see p 100 0, 12 50 Pa Figures and Inequality ... 4.2· 10 2, −1 n 0. 504 4 rad , N/m , 1 .02 3.1 10 Journal of Inequalities and Applications × 10 4 p 664.3 Pa p 555 Pa p 700 Pa z m p 800 Pa p 100 0 Pa 3.5 4.5 5.5 r m Figure 2: z versus r for p 6.5 × 10 4...
... Journal of Mathematical Analysis and Applications, vol 278, no 2, pp 551– 561, 200 3 R P Agarwal, K Perera, and D O’Regan, “Multiple positive solutionsof singular and nonsingular discrete problems ... equations, ” Applied Mathematics Letters, vol 19, no 10, pp 101 9– 102 3, 200 6 Y Liu and W Ge, “Twin positive solutionsofboundaryvalue problems for finite difference equations with p-Laplacian operator,” ... p-Laplacian difference equations, ” Journal of Computational and Applied Mathematics, vol 161, no 1, pp 193– 201 , 200 3 Y Li and L Lu, “Existence of positive solutionsof p-Laplacian difference equations, ”...
... Universiteta Seriya Fizika, Matematika, Informatika (1998), no 2, 60 63, 81 (Russian) [2] K A Ames and L E Payne, Asymptotic behavior for two regularizations ofthe Cauchy problemforthe backward heat ... is called quasi -boundary value method, and the related approximate problem is called quasi -boundary valueproblem (QBVP) We show that the approximate problems are well posed and that their solutions ... [0, T] and we have the desired estimate Remark 2.3 One advantage of this method of regularization is that the order ofthe error, introduced by small changes in the final value f , is less than...