Results 1 to 10 of about 249,936 (334)
On the Nagumo uniqueness theorem [PDF]
By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we
Mustafa, Octavian G., O'Regan, Donal
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On the existence and uniquness theorem of the global solutions for UFDES [PDF]
The uncertain functional differential equation (UFDE) is a type of functional differential equations driven by a canonical uncertain process. Uncertain functional differential equation with infinite delay (IUFDE) have been widely applied in sciences and ...
Samira Siya Mansouri +2 more
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A generalization of Kruskal’s theorem on tensor decomposition
Kruskal’s theorem states that a sum of product tensors constitutes a unique tensor rank decomposition if the so-called k-ranks of the product tensors are large.
Benjamin Lovitz, Fedor Petrov
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Existence, uniqueness, approximation of solutions and Ealpha-Ulam stability results for a class of nonlinear fractional differential equations involving psi-Caputo derivative with initial conditions [PDF]
The main purpose of this paper is to study the existence, uniqueness, Ea-Ulam stability results, and other properties of solutions for certain classes of nonlinear fractional differential equations involving the ps-Caputo derivative with initial ...
Derbazi Choukri +3 more
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Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces [PDF]
In this paper, we study the existence and uniqueness of the \(PC\)-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions.
JinRong Wang, YanLong Yang, W. Wei
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Bernstein-Type Theorems and Uniqueness Theorems [PDF]
Summary: Let \(f\) be an entire function of finite type with respect to finite order \(\rho\) in \(\mathbb C^n\) and let \(\mathbb E\) be a subset of an open cone in a certain \(n\)-dimensional subspace of \(\mathbb R^{2n}(=\mathbb C^n)\) (the smaller \(\rho\), the sparser \(\mathbb E\)). We assume that this cone contains a ray \(\{z=tz^0\in\mathbb C^n\
Logvinenko, V., Nazarova, N.
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Stability analysis for first-order nonlinear differential equations with three-point boundary conditions [PDF]
In the present paper, we study a system of nonlinear differential equations with three-point boundary conditions. The given original problem is reduced to the equivalent integral equations using Green function.
Kamala E. Ismayilova
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Herein, we mainly employ the fixed point theorem and Lax-Milgram theorem in functional analysis to prove the existence and uniqueness of generalized and mixed finite element (MFE) solutions for two-dimensional steady Boussinesq equation.
Zhendong Luo +3 more
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On a unique solution of fractional differential system
The aim of the study is to investigate the existence and uniqueness of solutions for a semi linear fractional differential system via Banach fixed point theorem.
Muayyad Mahmood Khalil
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The paper examines a system of nonlinear integro-differential equations with three-point and nonlinear integral boundary conditions. The original problem demonstrated to be equivalent to integral equations by using Green function.
M.J. Mardanov +2 more
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