A note on the singular Sturm-Liouville problem with infinitely many solutions
Electronic Journal of Differential Equations, 2002 We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
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Advances in Difference Equations, 2011 In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
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Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs [PDF]
, 2023 The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non-trivial, nonnegative solutions ...
GEORGIEV, Svetlin G. +2 more
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Positive solutions for fractional differential equations with non-separated type nonlocal multi-point and multi-term integral boundary conditions [PDF]
, 2021 In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition.
BENAICHA, Slimane, DJOURDEM, Habib
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An extension of Krasnoselskii's cone fixed point theorem for a sum of two operators and applications to nonlinear boundary value problems [PDF]
, 2023 The purpose of this work is to establish a new generalized form of the Krasnoselskii type compression-expansion fixed point theorem for a sum of an expansive operator and a completely continuous one.
BENZENATI, Lyna +3 more
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Theoretical and numerical considerations on Bratu-type problems [PDF]
, 2022 In this paper we present an heuristic introduction to Bratu problem and we give some variants of Bratu\u27s theorem (G. Bratu, Sur les equations integrales non lineaires, Bulletin Soc. Math. France, 42(1914), 113-142).
PETRUȘEL, Adrian +2 more
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Existence of positive solutions for a class of BVPs in Banach spaces [PDF]
, 2021 In this work, we use index fixed point theory for perturbation of expansive mappings by £-set contractions to study the existence of bounded positive solutions for a class of two-point boundary value problem (BVP) associated to second-order nonlinear ...
BENZENATI, Lyna +2 more
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Nonlinear two conformable fractional differential equation with integral boundary condition [PDF]
, 2023 This paper deals with a boundary value problem for a nonlinear differential equation with two conformable fractional derivatives and integral boundary conditions.
NOUIRI, Brahim +3 more
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Positive solution of Hilfer fractional differential equations with integral boundary conditions [PDF]
, 2021 In this article, we have interested the study of the existence and uniqueness of positive solutions of the first-order nonlinear Hilfer fractional differential equation... ...
ALMALAHI , Mohammed A. +2 more
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Uniqueness and existence of positive solutions for the fractional integro-differential equation [PDF]
, 2017 In this paper, we study the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value problem.
Wang, Ying, Wang, Y., Liu, Lishan
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