Results 91 to 100 of about 11,008 (207)
A third-order nonlocal problem with nonlocal conditions
International Journal of Mathematics and Mathematical Sciences, 2004 We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.
Lazhar Bougoffa
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An application of Schauder’s fixed point theorem with respect to higher order BVPs [PDF]
Proceedings of the American Mathematical Society, 1998 We shall provide conditions on the functionf(t,u1,⋯,un−1)f(t,u_{1},\cdots , u_{n-1}). The higher order boundary value problem({BVP}){(E) u(n)(t)+f(t,u(t),u(1)(t),⋯,u(n−2)(t))=0 for t∈(0,1) and n≥2, (BC) {u(i)(0)=0, 0≤i≤n−3, αu(n−2)(0)−βu(n−1)(0)=0, γu(n−2)(1)+δu(n−1)(1)=0\begin{equation*}\begin {cases}(E)~~ u^{(n)}(t)+ f(t, u(t),
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli +5 more
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Advances in Difference Equations, 2011 This paper discusses the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential equations. By using Banach fixed point theorem, Schaefer fixed point theorem, and nonlinear alternative of Leray ...
Chen Yi, Chen Anping
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Journal of Function Spaces, 2017 Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions.
Tingting Qi, Yansheng Liu, Yujun Cui
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Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
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Orientability of Fredholm families and topological degree [PDF]
, 1994 We construct a degree theory for oriented Fredholm mappings of index zero between open subsets of Banach spaces and between Banach manifolds. Our approach is based on the orientation of Fredholm mappings: it does not use Fredholm structures on the domain
Fitzpatrick, P. +2 more
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On Partial C‐ and S‐Controllability Results for Semilinear Stochastic Systems
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This article investigates the concepts of partial C‐ and S‐controllability for semilinear control systems that are disturbed by white noise. For these types of systems, it can be beneficial to study the deterministic and stochastic parts of the system separately, using a separation principle approach.
Maher Jneid, Bilal Bilalov
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A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions
Universal Journal of Mathematics and ApplicationsIn this paper, we investigate the existence of solutions for a sequential fractional differential equation involving Caputo-type derivative subject to mixed boundary conditions.
Djourdem Habib, Djamel-eddine Hettadj
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Mathematical Modelling and AnalysisWe investigate the existence, uniqueness and multiplicity of one-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime.
Meiyu Liu, Minghe Pei, Libo Wang
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