Positive solutions for a sixth-order boundary value problem with four parameters

Agarwal, Ravi P.; Kovács, Béla; O’Regan, Donal

doi:10.1186/1687-2770-2013-184

Cited by 7 publications

(4 citation statements)

References 6 publications

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“…[5], Ma and Wang [6], Aftabizadeh [7], Yang [8], Del Pino and Manasevich [9], RP Agarwal et.al. [10,11,12] (see also the references therein). All of those results are based on the Leray-Schauder continuation method, topological degree and the method of lower and upper solutions.…”

Section: Introductionmentioning

confidence: 99%

Existence of Positive Solution For a Fourth-order Differential System

Ács

2021

ARJOM

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Existence of Positive Solution For a Fourth-order Differential System where µ > 0 is a constant, and the nonlinear terms f, g may be singular with respect to the time and space variables. By fixed point theorem in cones, the existence is established for singular differential system. The results obtained herein generalize and improve some known results including singular and non-singular cases.

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Section: Introductionmentioning

confidence: 99%

Existence of Positive Solution For a Fourth-order Differential System

Ács

2021

ARJOM

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“…Many authors studied the existence of positive solutions for sixth-order boundary value problem using different methods, for example, minimization theorem, global bifurcation theorem, operator spectral theorem and fixed point theorem in cone, see [5][6][7][8][9][10] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Positive solutions for boundary value problem of sixth-order elastic beam equation

Bekri¹,

Benaicha²

2020

Open J. Math. Sci.

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In this paper, we study the existence of positive solutions for boundary value problem of sixth-order elastic beam equation of the form −u (6) The boundary conditions describe the deformation of an elastic beam simply supported at left and clamped at right by sliding clamps. We give sufficient conditions that allow us to obtain the existence of positive solution. The main tool used in the proof is the Leray-Schauder nonlinear alternative and Leray-Schauder fixed point theorem. As an application, we also give example to illustrate the results obtained.

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“…In the literature, there are several studies mainly focused only on the existence of solutions with qualitative and quantitative aspects. Among them, we recommend [1], [2], [3], [5], [13], [6], [7], [8], [12], [4] and the references therein.…”

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confidence: 99%