Báo cáo hóa học: " Research Article Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient" docx
Báo cáo hóa học: " Research Article Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient" docx
... CorporationBoundary Value ProblemsVolume 2007, Article ID 47218, 12 pagesdoi:10.1155/2007/47218 Research Article Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence ... solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems ... degenerate elliptic equation with logistic reaction,” Proceed-ings of the American Mathematical Society, vol. 129, no. 2, pp. 433–441, 2001.[5] W. Dong and J. T. Chen, Existence and multiplicity results...
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báo cáo hóa học:" Research Article Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems" potx
... cones, and obtained the existence of at least two positive solutions under reasonable conditions. In 6, the authorsestablished the existence of sign-changing solutions and positive solutions ... 11 for further information.Theorem 1.1 see 11. Assume that cone P is normal and operator A satisfies the followingconditions:B1 A : Ph→ Phis increasing in Ph,B2 for for ... α-concave if A satisfies condition B2.2. Positive Solutions for the Problems P±In this section, we will apply Theorem 1.1 to study the general NBVPs P± and then we willobtain new results...
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Báo cáo hóa học: " Research Article Existence and Localization Results for p x -Laplacian via Topological Methods" doc
... Results In this work, we present new existence and localization results for X-solutions to problem P,under CAR condition on f. Our approach is based on regularity results for the solutions ... defined, continuous, and order preserving. Consequently, K is a compact operator. On the other hand, it is clearthat the fixed points of K are the solutions of problem P. Now the conclusion follows ... Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 120646, 7 pagesdoi:10.1155/2010/120646 Research Article Existence and Localization Results for px-Laplacian...
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báo cáo hóa học:" Research Article Existence and Multiplicity of Positive Solutions of a Boundary-Value Problem for Sixth-Order ODE with Three Parameters" pdf
... A, B, and C are some given real constants and fx, u is a continuous function on R2, is motivated by the study for stationary solutions of the sixth-order parabolic differential equations ∂u∂t∂6u∂x6 ... way, the existence of spatial periodic solutions of both the EFKequation and the SH equation was studied by Peletier and Troy 4, Peletier and Rottsch¨afer5, Tersian and Chaparova 6, and ... function and then used the fixed point theorem of cone extension orcompression to study the problem. The purpose of this paper is using the idea of 7 to investigate BVP for sixth-order equations. ...
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Báo cáo hóa học: "Research Article Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and Maximum" ppt
... investigate the corresponding difference equations with nonlinear boundary conditions.Our ideas arise from 1, 3. In 1993, Brykalov 1 discussed the existence of twodifferent solutions to the nonlinear ... of 1 are valid for functional differential equations in general form and for some cases of unbounded right-hand side of the equation see 1,Remark 3 and 5, 2, Remark 2 and 8.In 1998, ... Article Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and MaximumRuyun Ma and Chenghua GaoCollege of Mathematics and Information Science, Northwest Normal...
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báo cáo hóa học:" Research Article Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales" docx
... Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Application,Birkh¨auser, Boston, Mass, USA, 2001.3 M. Bohner and A. Peterson, Advances in Dynamic Equations on ... 8–10 and references therein.2 Boundary Value ProblemsIn this paper, we are concerned with the existence of at least one positive solution for the following second-order three-point BVP on time ... representation of Green’s function for the corresponding linear boundary value problem is obtained and some existence criteria of at leastone positive solution for the above nonlinear boundary value...
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Báo cáo hoa học: " Research Article Existence of Periodic Solutions for p-Laplacian Equations on Time Scales" pot
... known results for differential equations when the time scale is chosen as the setof the real numbers. The main method is based on the Mawhin’s continuation theorem.1. IntroductionIn the past ... 1.1by Mawhin’s continuation theorem of coincidence degree theory 3. The author obtained anew result for the existence of periodic solutions and investigated the relation between the existence of ... established for the existence of periodic solutions of thisclass of nonautonomous scalar dynamic equations on time scales, the approach that authorsused in this paper is based on Mawhin’s continuation...
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Báo cáo hóa học: " Research Article Reducibility and Stability Results for Linear System of Difference Equations" potx
... be deduced by considering the reduced form 1.5under some additional conditions. In this study, we first give a theorem on the reducibility of1.1 into the form of 1.5 and then obtain asymptotic ... of the zero solution of 1.1.2. Reducible systemsIn this section, we give a theorem on the structure of the matrix Sn, and provide an example for illustration. The results in this section ... Tiryaki, On the equation ˙x Atx,” Mathematica Japonica, vol. 33, no. 3, pp. 469–473, 1988.2 J. Rodriguez and D. L. Etheridge, “Periodic solutions of nonlinear second-order difference equations, ”Advances...
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Báo cáo hóa học: " Research Article Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales" ppt
... calculus theory, the coincidence degree theory, and the Lyapunovfunctional method, we obtain sufficient conditions for the existence and global exponentialstability of anti-periodic solutions for ... “Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities,” Nonlinear Analysis, vol. 43, pp. 233–251, 2001.28 J. Y. Shao, “Anti-periodic solutions for shunting ... solutions to nonmonotone evolution equations with discontinuous nonlinearities,” Nonlinear Analysis, vol. 43, pp. 233–251, 2001.17 Y. Chen, J. J. Nieto, and D. O’Regan, “Anti-periodic solutions...
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báo cáo hóa học:" Research Article Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms" pot
... σ/N for N ≥ 2, σ>−2andforN 1, σ>−1, p∗m,σ m 1forN 1,σ ≤−1. This p∗m,σis called the critical exponent. On the other hand, 6–9 and so on. study the inhomogeneous equations ... Difference Equations For quasi-linear parabolic equations, the authors of 1–5 and so on. study the homogeneous equations i.e., fx ≡ 0in1.1. Baras and Kersner 1 proved that 1.1 with m 1andfx ... 2.3 the monotonicity property. Let ux be a nonnegative sub-solution to the stationaryproblems of Problem 1.1. Then the positive solution ux, t with initial data ux is monotoneincreasing...
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