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1161
Integral means of certain multivalent functions
Published 2006-01-01“…For analytic and multivalent functions f(z) and p(z) in the open unit disk U, a subordination theorem due to Littlewood (1925) which was called the integral mean is applied. …”
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1162
Nonlinear Decomposition of Doob-Meyer's Type for Continuous g-Supermartingale with Uniformly Continuous Coefficient
Published 2014-01-01“…It is a new nonlinear Doob-Meyer decomposition theorem for the g-supermartingale with continuous trajectory.…”
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1163
Remarks of Fixed Point for (ψ,φ)-Weakly Contractive Mappings
Published 2021-01-01“…In this paper, we obtain a new fixed point theorem for weak contraction mappings on complete generalized metric spaces. …”
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1164
Approximate Preservers on Banach Algebras and C*-Algebras
Published 2013-01-01“…The aim of the present paper is to give approximate versions of Hua’s theorem and other related results for Banach algebras and C*-algebras. …”
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1165
Positive Solutions for Singular p-Laplacian Fractional Differential System with Integral Boundary Conditions
Published 2014-01-01“…By using the Leggett-Williams fixed point theorem, the existence of at least three positive solutions to the boundary value system is guaranteed.…”
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1166
Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme
Published 2014-01-01“…We show that the unique solution of G-SFDEs gets convergence from Cauchy-Maruyama (CM) approximate solutions. The existence theorem for G-SFDEs is developed with the above mentioned scheme.…”
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1167
Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces
Published 2014-01-01“…We establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. …”
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1168
On the Positive Almost Periodic Solutions of a Class of Nonlinear Lotka-Volterra Type System with Feedback Control
Published 2012-01-01“…With the help of the variable substitution and applying the fixed point theorem, we derive the sufficient conditions which guarantee the existence of the positive almost periodic solutions for a class of Lotka-Volterra type system. …”
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1169
Null controllability of a nonlinear population dynamics problem
Published 2006-01-01“…Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction.…”
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1170
ON THE CONCEPT OF GENERALISED ORDER OPTIMALITY
Published 2012-09-01“…The main results of this paper include a detailed analysis of the notion of generalised order optimality and some sufficient conditions for a point satisfying the necessary optimality condition [2, 3, Theorem 5.59] to be a generalised order solution of the optimisation problem under consideration.…”
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1171
The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions
Published 2018-01-01“…By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. …”
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1172
Global Stability for a Discrete Space-Time Lotka–Volterra System with Feedback Control
Published 2020-01-01“…By means of a discrete version of comparison theorem, the boundedness of the nonnegative solution of the system is proved. …”
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1173
Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays
Published 2006-01-01“…The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf bifurcation theorem due to Wu and Bendixson's criterion for high-dimensional ordinary differential equations due to Li and Muldowney. …”
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1174
Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives
Published 2022-01-01“…In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. …”
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1175
Tauberian conditions for Conull spaces
Published 1985-01-01“…The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. …”
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1176
Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition
Published 2021-01-01“…In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. …”
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1177
The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
Published 2012-01-01“…In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-Krasovskii stability theorem and the linear matrix inequality (LMI). We also present some simulation results to support the validity of the theories.…”
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1178
On the Fourier-Transformed Boltzmann Equation with Brownian Motion
Published 2015-01-01“…We establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier-transformed Fokker-Planck-Boltzmann equation with singular Maxwellian kernel, which may be viewed as a kinetic model for the stochastic time-evolution of characteristic functions governed by Brownian motion and collision dynamics.…”
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1179
Torus and Subharmonic Motions of a Forced Vibration System in 1 : 5 Weak Resonance
Published 2020-01-01“…The fixed point of the Poincaré map is guaranteed by the implicit function theorem. The map is transformed into its normal form at the fifth-order resonance case. …”
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1180
Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter
Published 2019-01-01“…On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solutions are obtained for the boundary value problems. …”
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