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341
On the existence of solution of a two-point boundary value problem in a cylindrical floating zone
Published 2001-01-01“…On the basis of the upper-lower solution method and Schauder's fixed point theorem, it is proved that the problem admits a solution when 0≤Q≤12.683. …”
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342
Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation
Published 2011-01-01“…The associated Green function for the boundary value problem is given at first, and some useful properties of the Green function are obtained. By using the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained.…”
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343
Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator
Published 2023-01-01“…We achieved our main result by using the Banach contraction mapping principle and Krasonoselskii’s fixed point theorem. Furthermore, we introduce an application to demonstrate the validity of the results of our findings.…”
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344
Convexity of the Set of Fixed Points Generated by Some Control Systems
Published 2009-01-01“…We deal with an application of the fixed point theorem for nonexpansive mappings to a class of control systems. …”
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345
Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
Published 2015-01-01“…Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space. Examples illustrating the main results are presented.…”
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346
Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities
Published 2017-01-01“…Under certain inequality conditions that f(t,x,y) may be superlinear growth on (x,y), an existence result of odd 2π-periodic solutions is obtained via Leray-Schauder fixed point theorem.…”
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347
Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters
Published 2014-01-01“…We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. …”
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348
C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
Published 2015-01-01“…By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for this class of networks with time-varying delays are established. …”
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349
Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
Published 2013-01-01“…Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.…”
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350
Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces
Published 2022-01-01“…In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. …”
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351
Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces
Published 2014-01-01“…Using the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition.…”
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352
Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion
Published 2020-01-01“…In addition, with the fixed-point theorem and the properties of Mittag–Leffler functions, some results of the existence as well as asymptotic stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion are obtained. …”
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353
Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative
Published 2021-01-01“…We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. …”
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354
On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications
Published 2013-01-01“…Using that condition and the classical Schauder fixed point theorem, we show the existence theorem for some quadratic integral equations of Fredholm type in the space of functions satisfying the Hölder condition. …”
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355
Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line
Published 2012-01-01“…By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. …”
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356
Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces
Published 2013-01-01“…Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. …”
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357
Twin Positive Solutions of a Nonlinear m-Point Boundary Value Problem for Third-Order p-Laplacian Dynamic Equations on Time Scales
Published 2008-01-01“…Several existence theorems of twin positive solutions are established for a nonlinear m-point boundary value problem of third-order p-Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. …”
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358
Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion
Published 2020-01-01“…Our approach is based on Perov’s fixed-point theorem. Furthermore, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution.…”
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359
A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations
Published 2012-01-01“…We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.…”
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360
Existence and Exponential Stability of Equilibrium Point for Fuzzy BAM Neural Networks with Infinitely Distributed Delays and Impulses on Time Scales
Published 2014-01-01“…By using the fixed point theorem and constructing a Lyapunov functional, we establish some sufficient conditions on the existence, uniqueness, and exponential stability of equilibrium point for a class of fuzzy BAM neural networks with infinitely distributed delays and impulses on time scales. …”
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