Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance by Lei Hu

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Positive Solutions for a Coupled System of Nonlinear Semipositone Fractional Boundary Value Problems by S. Nageswara Rao, M. Zico Meetei

“…Values of the parameters λ and μ are determined for which boundary value problem has positive solution by utilizing a fixed point theorem on cone.…”
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Weak Solutions for a p-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects by Keyu Zhang, Jiafa Xu, Wei Dong

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Exploring the solutions of tempered (κ,ϖ)-Hilfer hybrid implicit boundary value problem by Abdelkrim Salim, Sabri T.M. Thabet, Ava Sh. Rafeeq, Mohammad Esmael Samei, Imed Kedim, Miguel Vivas-Cortez

“…In this manuscript, we provide an in-depth analysis of existence and uniqueness results, along with stability assessments associated with the κ-Mittag-Leffler-Ulam-Hyers type, specifically focusing on a newly formulated category of hybrid boundary value problems (BVPs) that incorporate fractional derivatives. …”
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Positive Solutions for a Class of Third-Order Three-Point Boundary Value Problem by Xiaojie Lin, Zhengmin Fu

“…We investigate the problem of existence of positive solutions for the nonlinear third-order three-point boundary value problem u‴(t)+λa(t)f(u(t))=0, 0<t<1, u(0)=u′(0)=0, u″(1)=∝u″(η), where λ is a positive parameter, ∝∈(0,1), η∈(0,1), f:(0,∞)→(0,∞), a:(0,1)→(0,∞) are continuous. …”
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On the Weak Solution of a Semilinear Boundary Value Problem without the Landesman-Lazer Condition by Sikiru Adigun Sanni

“…We prove the existence of weak solution to a semilinear boundary value problem without the Landesman-Lazer condition.…”
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Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition by Assia Guezane-Lakoud, Hamidane Nacira, Khaldi Rabah

“…This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. …”
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NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER by Mikhail Valeryanovich Buiaun, Nicolai Petrovich Rakhvalov, Tạ Duy Phượng

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A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems by Manoj Kumar, Parul

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Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems by Hongyu Li, Junting Zhang

“…We investigate in this paper the following second-order multipoint boundary value problem: -(Lφ)(t)=λf(t,φ(t)), 0≤t≤1, φ′0=0, φ1=∑i=1m-2βiφηi. …”
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Multiplicity of Positive Solutions for Fractional Differential Equation with p-Laplacian Boundary Value Problems by Sabbavarapu Nageswara Rao

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Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem by Imed Bachar, Said Mesloub

“…We consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. …”
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Existence and Uniqueness of Solutions for Fractional Boundary Value Problems under Mild Lipschitz Condition by Imed Bachar, Habib Mâagli, Hassan Eltayeb

“…This paper deals with the following boundary value problem Dαut=ft,ut,t∈0,1,u0=u1=Dα−3u0=u′1=0, where 3<α≤4,Dα is the Riemann-Liouville fractional derivative, and the nonlinearity f, which could be singular at both t=0 and t=1, is required to be continuous on 0,1×ℝ satisfying a mild Lipschitz assumption. …”
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Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals by Hairong Lian, Junfang Zhao

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A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems by T. A. Biala, S. N. Jator

“…The methods obtained from these continuous BVMs are weighted the same and are used to simultaneously generate approximations to the exact solution of systems of second-order boundary value problems (BVPs) on the entire interval of integration. …”
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Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces by Jingjing Cai, Guilong Liu

“…Using a specially constructed cone and the fixed point index theory, this work shows existence and nonexistence results of positive solutions for fourth-order boundary value problem with two different parameters in Banach spaces.…”
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Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems by Pedro Almenar, Lucas Jódar

“…This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and sufficient conditions for the existence of solutions of a class of nth-order linear boundary value problems, in the form of integral inequalities. …”
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Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem by Shaolin Zhou, Xiaoling Han

“…This paper is concerned with the existence and nonexistence of positive solutions to the singular third-order m-point boundary value problem u′′′(t)+a(t)f(u(t))=0,  0<t<1,  u(0)=u'(0)=0,  u'(1)-∑i=1m-2αiu'(ξi)=λ, where ξi∈[0,1),  αi∈[0,∞)  (i=1,2,…,m-2) are constants, λ∈(0,1) is a parameter, f:[0,∞)→[0,∞) is continuous and a(·) is allowed to be singular at t=0 and t=1. …”
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A new finite difference algorithm for boundary value problems involving transmission conditions by Semih Çavuşoğlu, Oktay Sh. Mukhtarov

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Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight by Ruyun Ma, Chenghua Gao, Yanqiong Lu

“…We study the spectrum structure of discrete second-order Neumann boundary value problems (NBVPs) with sign-changing weight. …”
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