Results 71 to 80 of about 1,267,876 (189)
On Existence of Solutions to the Caputo Type Fractional Order Three-Point Boundary Value Problems
International Journal of Analysis and Applications, 2016 In this paper, we establish the existence of solutions to the fractional order three-point boundary value problems by utilizing Banach contraction principle and Schaefer's fixed point theorem.
B.M.B. Krushna, K.R. Prasad
doaj +2 more sources
Characterization of ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces
Journal of Function Spaces, 2018 Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness.
Tomonari Suzuki
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BANACH CONTRACTION PRINCIPLE AND ITS GENERALIZATIONS
, 2018 The main purpose of this research paper was to establish sufficient condition for the existence of fixed point of self maps satisfying some contraction type conditions in a complete metric space.
openaire +1 more source
A general theory of inverse welfare functions
Theoretical Economics, Volume 21, Issue 3, Page 973-1018, July 2026.This paper develops a general theory to recover the inverse welfare function that rationalizes a given tax schedule as optimal. Our theory allows for complex environments including the presence of multidimensional tax schedules, bunching/jumping behavior, optimization frictions, general equilibrium effects, and externalities.
Katy Bergstrom, William Dodds
wiley +1 more source
Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
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Reformulation of Fixed Point Existence: From Banach to Kannan and Chatterjea Contractions
AxiomsThis paper presents a reformulation of classical existence and uniqueness results for second-order boundary value problems (BVPs) using the Kannan fixed point theorem, extending beyond the Banach contraction principle.
Zouaoui Bekri +3 more
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Discrete Dynamics in Nature and Society, 2016 We consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients. We use the Banach contraction principle to obtain new sufficient condition for the existence of nonoscillatory solutions.
Youjun Liu, Huanhuan Zhao, Jurang Yan
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Periodic boundary value problems for nonlinear impulsive fractional differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle.
Xiaojing Wang, Chuanzhi Bai
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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