logical reasoning questions with solutions for clat
Báo cáo toán học: " Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions" ppt
... [26–30], for elliptic systems with nonlinearboundary conditions see [31, 32], for the p-Laplacian with nonlinear boundaryconditions of different type see [33–37], and for the p(x)-Laplacian with ... (x,t)tr1>0 uniformly for x ∈ Ω0.(g2)+There exists r2> 0 such that lim inft→0+G(x,t)tr2> 0 uniformly for x ∈ ∂Ω.Then (P ) has at least one nontrivial nonnegative solution with negativeenergy.Proof. ... upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
... by (3.23), for any u Î Zk with ||u|| ≤ rk, we haveϕ(u) ≥−cγγkuγ.Therefore,−cγγkργk≤ infu∈Zk,u≤ρkϕ(u) ≤ 0,so we haveinfu∈Zk,u≤ρkϕ(u) →0 for rk, ... x)|x|μ≥ Quniformly for a.e. t Î [0, T];(B4) F(t, x)=F(t,-x) for t Î [0, T] and all x in ℝN.Then system (1.1) has infinite solution s ukinW1,p(t)T for every positive integer ... Theo-rem 3.3, so system (1.1) has infinite solutions {uk}inW1,p(t)T for every positive integer k.AcknowledgementsThe authors thank the anonymous referees for valuable suggestions and comments...
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Báo cáo hóa học: "Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces" doc
... [(f)0- ε]||x||, for ||x|| ≤ r3, x Î P, t Î I.Therefore, for t Î I, x Î K,||x ||c= r3, similar to (3.3), we haveTx(t)≥ϕ((Tu)(t))≥ λ[(ϕf)0− ε]xcA ≥xc.Therefore,Txc≥xc, ... positive solutions for a class of p-Laplacianfourth-order differential equations w ith integral boundary conditions. By usingMawhin’ s continuat ion theorem, some sufficient conditions for the ... ofsolution for a class of second-order differential equations with integral boundary con-ditions at resonance are established in [8]. Feng et al. [9] considered the boundaryvalue problems with one-dimensional...
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báo cáo hóa học: " Sign-changing solutions for some nonlinear problems with strong resonance" pot
... H+=0,thenweconsidercj for j ≥ 2. As per the above arguments,J(0) < c0≤ c2≤ c3≤···≤ cdim H−≤ c∞and if c := cj= = cj+l for 2 ≤ j ≤ j + l ≤dim H- with l ≥ 1, then i(Kc∩ S) ≥ l +1≥ 2.Therefore, ... theory with applications to differential equations. CBMS Reg Cof SerMath. 65 (1986)doi:10.1186/1687-2770-2011-18Cite this article as: Qian: Sign-changing solutions for some nonlinear problems with ... elliptic equation with strong resonance. Nonlinear Anal TMA. 66, 1885–1898 (2007).doi:10.1016/j.na.2006.02.0466. Su, JB, Zhao, LG: An elliptic resonant problem with multiple solutions. J Math...
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báo cáo hóa học: " Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping" ppt
... Song and Zhong [13],Wang [14]. For instance, Messaoudi [11] studied (1.2) for h(ut)=a|ut|m-2utand f(u)=b|u|p-2u and proved a blow-up result for solutions with negative initial energy ... 2andaglobalresultfor2≤ p ≤ m. This result has been later improved by Mes-saoudi [12] to accommodate certain solutions with positive initial energy. Song andZhong [13 ] considered (1.2) for h(ut)=-Δutand ... uniform decay for nonlinear viscoelastic equation with strong damping. Math. Methods Appl. Sci. 24, 1043–1053 (2001). doi:10.1002/mma.2502. Messaoudi, SA, Tatar, N-E: Global existence and uniform...
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báo cáo hóa học: " Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity" pdf
... oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Nonlinear Anal.24, 1665–1671 (1995). doi:10.1016/0362-546X(94)00227-96. Tang, CL: Periodic solutions for non-autonomous ... Periodic solutions for nonautonomous second order systems with sublinear nonlinearity. Proc Amer MathSoc. 126, 3263–3270 (1998). doi:10.1090/S0002-9939-98-04706-68. Tang, CL, Wu, XP: Periodic solutions ... for all n. Combining (3.4) with (3.5), we obtainC4h(|¯un|) ≥⎛⎝T0|˙un(t ) |2dt⎞⎠1/2− C5(3:6) for all large n. By (3.1), (3.6), Lemma...
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Báo cáo hóa học: " Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity" pptx
... criterion and global weak solutions for Magnetohydrodynamics with zero viscosity. Discrete ContinDyn Syst A. 25, 575–583 (2009)27. Wu, J: Regularity results for weak solutions of the 3D MHD equations. ... scientists working with the hydrodynamic-fluid problems andphenomena. For more background, we ref er to [10] and references the rein. The e xis-tences of weak and strong solutions for micropolar ... smooth solutions for magneto-micropolar fluid equations with partialviscosityYu-Zhu Wang*, Yifang Li and Yin-Xia Wang* Correspondence: yuzhu108@163.comSchool of Mathematics andInformation...
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Báo cáo hóa học: " Research Article Three Solutions for Forced Duffing-Type Equations with Damping Term" docx
... 2807–2813,2010.9 Y. Wang and W. Ge, “Periodic solutions for Duffing equations with a p-Laplacian-like operator,”Computers & Mathematics with Applications, vol. 52, no. 6-7, pp. 1079–1088, ... Article ID 736093, 11 pagesdoi:10.1155/2011/736093Research ArticleThree Solutions for Forced Duffing-TypeEquations with Damping TermYongkun Li and Tianwei ZhangDepartment of Mathematics, ... distinct solutions for the following resonant Duffing-type equations with damping andperturbed term utσutft, ut λgt, ut pt,a.e.t ∈ 0,ω, u00 uω andwithout perturbed...
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Báo cáo hóa học: " Research Article Positive Solutions for Integral Boundary Value Problem with φ-Laplacian Operator Yonghong Ding" pdf
... The existence of positive solutions for two above cases received wide attention see 3–10. For example, Ji and Ge 4 studiedthe multiplicity of positive solutions for the multipoint boundary ... positive solutions for the one-dimensional p-Laplacian,” Proceedings of theAmerican Mathematical Society, vol. 125, no. 8, pp. 2275–2283, 1997.4 D. Ji and W. Ge, “Multiple positive solutions for ... one or two positive solutions for BVP1.1 is established by applying the Krasnoselskii fixed point theorem. In Section 4,wegive the existence of three positive solutions for BVP1.1 by using...
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Báo cáo hóa học: " Research Article Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter" doc
... solutions for fourth-order boundary valueproblems with three parameters,” Mathematical and Computer Modelling, vol. 46, no. 3-4, pp. 525–534,2007.8 H. Ma, “Symmetric positive solutions for ... 2010.15 J. Zhao and W. Ge, “Positive solutions for a higher-order four-point boundary value problem with ap-Laplacian,” Computers & Mathematics with Applications, vol. 58, no. 6, pp. 1103–1112, ... Applications,vol.67,no.5,pp.1586–1598, 2007.12 Y. Yang and J. Zhang, “Existence of solutions for some fourth-order boundary value problems with parameters,” Nonlinear Analysis. Theory, Methods & Applications,...
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báo cáo hóa học:" Research Article Multiple Positive Solutions for a Class of Concave-Convex Semilinear Elliptic Equations in Unbounded Domains with Sign-Changing Weights" pdf
... BN0; 1has exactly two positive solutions for λ ∈ 0,λ0 and has exactly one positive solution for λ λ0and no positive solution exists for λ>λ0. For more general results of Eλinvolvingsign-changing ... λ0> 0suchthatEλ admits atleast two positive solutions for all λ ∈ 0,λ0 and has one positive solution for λ λ0and nopositive solution for λ>λ0. Actually, Adimurthi et al. 2, ... However, little has been done for this type of problem in unboundeddomains. For ΩN, we are only aware of the works 12–15 which studied the existenceof solutions for some related concave-convex...
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báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
... lower solutions method together with maximal principle, we establish anecessary and sufficient condition for the existence of pseudo-C30, 1 as well as C20, 1 positive solutions for fourth-order ... X. Zhang and L. Liu, “A necessary and sufficient condition for positive solutions for fourth-ordermulti-point boundary value problems with p-Laplacian,” Nonlinear Analysis: Theory, Methods &Applications, ... author’sknowledge, there are no necessary and sufficient conditions available in the literature for theexistence of solutions for integral boundary value problem 1.1 . Motivated by above papers,the purpose...
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báo cáo hóa học:" Research Article Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities" pot
... ⊂ Ij∞, suchthatliml →∞ylt ∞, uniformly for t ∈α, β. 3.33Hence, we haveliml →∞fyltylt ∞, uniformly for t ∈α, β. 3.34Now, we show that liml ... structure of positive solutions of 1.1, 1.2 with f0 ∞. However, to the best of our knowledge, there is no paperto discuss the global structure of nodal solutions of 1.1, 1.2 with f0 ∞.In ... nodal solutions of 1.1, 1.2 under the following assumptions:A1 αi> 0fori 1, ,m− 2, with 0 <m−2i1αi< 1;A2 f ∈ C1R \{0}, R ∩ CR, R satisfies fss>0fors/...
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Báo cáo sinh học: " Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions" docx
... severalresearchers with the sphere of study ranging from the theoretical aspects of existence anduniqueness of solutions to the analytic and numerical methods for finding solutions. For somerecent ... differentialequations with three-point boundary conditions,” Computers & Mathematics with Applicationsl, vol. 58,no. 9, pp. 1838–1843, 2009.16 Z. Bai and H. L¨u, “Positive solutions for boundary ... denotes the Banach space of all continuous functions from 0, 1 → Xendowed with a topology of uniform convergence with the norm denoted by ·.We remark that fractional boundary conditions...
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báo cáo hóa học:" Extremal solutions for certain type of fractional differential equations with maxima" pptx
... equations with maxima in complex domain, byusing technique associated with measures of non-compactness.In this article, we establish the extreme solutions (maximal and minimal solutions) for fractional ... upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Extremal solutions for certain type of fractional differential equations with maximaAdvances in ... R)−Carath´eodory with any decreasing growth function h ∈L1(J, R+) such that ∥F (t, u)∥ ≤ h(t) a.e t ∈ J for all u ∈ R. Therefore in view of Theorem3.2, the problem (8) has maximal and minimal solutions. Example...
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