Results 11 to 20 of about 1,683 (93)
Free Boundary Formulation for BVPs on a Semi-Infinite Interval and Non-Iterative Transformation Methods [PDF]
, 2014 This paper is concerned with two examples on the application of the free boundary formulation to BVPs on a semi-infinite interval. In both cases we are able to provide the exact solution of both the BVP and its free boundary formulation. Therefore, these
Fazio, Riccardo
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Differential Equations & Applications, 2021 Sufficient conditions for the existence of solutions to a coupled system of fractionalorder differential inclusions associated with fractional non-separated boundary conditions for multivalued maps are established, by employing the nonlinear alternative ...
B. Krushna, K. R. Prasad, P. Veeraiah
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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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Boundary value problems for fractional differential equations
Boundary Value Problems, 2014 In this paper we study the existence of solutions of nonlinear fractional differential equations at resonance. By using the coincidence degree theory, some results on the existence of solutions are obtained. MSC: 34A08, 34B15.
Zhigang Hu, Wenbin Liu, Jiayin Liu
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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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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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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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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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, 2011 This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
B. Ahmad, J. Nieto
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