Results 21 to 30 of about 1,841 (156)
Demonstratio Mathematica, 2022 By using the theory of fixed point index and spectral theory of linear operators, we study the existence of positive solutions for Riemann-Liouville fractional differential equations at resonance. Our approach will provide some new ideas for the study of
Wang Youyu, Huang Yue, Li Xianfei
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Positive solution of a fractional differential equation with integral boundary conditions
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo +2 more
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Multi-bump solutions for a Kirchhoff-type problem
Advances in Nonlinear Analysis, 2016 In this paper, we study the existence of solutions for the Kirchhoff problem M(∫ℝ3|∇u|2dx+∫ℝ3(λa(x)+1)u2dx)(-Δu+(λa(x)+1)u)=f(u)$M\Biggl (\int _{\mathbb {R}^{3}}|\nabla u|^{2}\, dx + \int _{\mathbb {R}^{3}} (\lambda a(x)+1)u^{2}\, dx\Biggl ) (- \Delta u +
Alves Claudianor O. +1 more
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The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
, 2016 In this work we study the following singular problem involving the fractional Laplace operator: (Pλ ) { L u = a(x) uγ +λ f (x,u) in Ω; u = 0, in RN \Ω, where Ω ⊂ RN , N 2 be a bounded smooth domain, a ∈C(Ω), λ is a positive parameter and 0 < γ < 1, 2 < r
A. Ghanmi, K. Saoudi
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Generalized KdV Equation for Fluid Dynamics and Quantum Algebras
, 1996 We generalize the non-linear one-dimensional equation of a fluid layer for any depth and length as an infinite order differential equation for the steady waves.
A. A. Mohammad +19 more
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Maximum principle and its extension for bounded control problems with boundary conditions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 35, Page 1855-1879, 2004., 2004 This note is focused on a bounded control problem with boundary conditions. The control domain need not be convex. First‐order necessary condition for optimality is obtained in the customary form of the maximum principle, and second‐order necessary condition for optimality of singular controls is derived on the basis of second‐order increment formula ...
Olga Vasilieva
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A class of nonlinear third-order boundary value problem with integral condition at resonance
Differential Equations & Applications, 2021 We are interested in the existence result for a class of nonlinear third-order three-point boundary value problem with integral condition at resonance.
H. Djourdem
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Nonuniqueness theorem for a singular Cauchy‐Nicoletti problem
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 591-602, 2004., 2004 The problem of nonuniqueness for a singular Cauchy‐Nicoletti boundary value problem is studied. The general nonuniqueness theorem ensuring the existence of two different solutions is given such that the estimating expressions are nonlinear, in general, and depend on suitable Lyapunov functions.
Josef Kalas
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Nonmonotone impulse effects in second‐order periodic boundary value problems
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 577-590, 2004., 2004 We deal with the nonlinear impulsive periodic boundary value problem u″ = f(t, u, u′), u(ti+) = Ji(u(ti)), u′(ti+) = Mi(u′(ti)), i = 1, 2, …, m, u(0) = u(T), u′(0) = u′(T). We establish the existence results which rely on the presence of a well‐ordered pair (σ1, σ2) of lower/upper functions (σ1 ≤ σ2 on [0, T]) associated with the problem.
Irena Rachůnková, Milan Tvrdý
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On the discreteness of the spectra of the Dirichlet and Neumann p‐biharmonic problems
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 777-792, 2004., 2004 We are interested in a nonlinear boundary value problem for (|u″|p−2u″)′′=λ|u|p−2u in [0, 1], p > 1, with Dirichlet and Neumann boundary conditions. We prove that eigenvalues of the Dirichlet problem are positive, simple, and isolated, and form an increasing unbounded sequence. An eigenfunction, corresponding to the nth eigenvalue, has precisely n − 1
Jiří Benedikt
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