Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach

Haishen Lü; Donal O'Regan; Ravi P. Agarwal

Displaying similar documents to “Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach”

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Dead cores of singular Dirichlet boundary value problems with $φ$ -Laplacian

Ravi P. Agarwal, Donal O&#039;Regan, Staněk, Svatoslav (2008)

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The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem ${(φ (u^{'}))}^{'} = λ f (t, u, u^{'})$ , $u (0) = u (T) = A$ . Here $λ$ is the positive parameter, $A > 0$ , $f$ is singular at the value $0$ of its first phase variable and may be singular at the value $A$ of its first and at the value $0$ of its second phase variable.

On some BK spaces.

De Malafosse, Bruno (2003)

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Existence of positive solutions for multiterm fractional differential equations of finite delay with polynomial coefficients.

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Fractional BVPs with strong time singularities and the limit properties of their solutions

Svatoslav Staněk (2014)

Open Mathematics

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In the first part, we investigate the singular BVP ${\frac{d}{d t}}^{c} D^{α} u + {(a / t)}^{c} D^{α} u = ℋ u$ , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where $ℋ$ is a continuous operator, α ∈ (0, 1) and a < 0. Here, c D denotes the Caputo fractional derivative. The existence result is proved by the Leray-Schauder nonlinear alternative. The second part establishes the relations between solutions of the sequence of problems ${\frac{d}{d t}}^{c} D^{α_{n}} u + {(a / t)}^{c} D^{α_{n}} u = f (t, u,^{c} D^{β_{n}} u)$ , u(0) = A, u(1) = B, ${^{c} D^{α_{n}} u (t)|}_{t = 0} = 0$ where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t,...

Calculations in new sequence spaces

Bruno de Malafosse (2007)

Archivum Mathematicum

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In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index $p > 0$ of $r$ -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.