Results 281 to 290 of about 3,735 (290)
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Nonlocal problems for some partial differential equations
Applicable Analysis, 1992Abstract Nonlocal problems for polyharmonic functions and for a special third order system in a half plane are studied which have applications in elasticity. Some of them are solved explicitly on the basis of solutions to related classical problems, others are reduced to the RlEMANN problem for serveral holomorphic functions.
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Positive solutions for a nonlocal fractional differential equation
Nonlinear Analysis: Theory, Methods & Applications, 2011Abstract In this paper, we study the following singular boundary value problem of a nonlocal fractional differential equation { D 0 + α u ( t ) + q ( t ) f ( t , u ( t ) ) = 0 , 0 t 1 , n − 1 α ≤ n , u ( 0 ) = u ′ ( 0 ) = ⋯ = u ( n − 2 ) (
Lishan Liu +3 more
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Travelling Waves for a Nonlocal Delay Differential Equation
Bulletin of the Iranian Mathematical Society, 2018A class of nonlocal delay differential equation with nonmonotone nonlinearity that arises from population dynamics is considered. The existence of travelling waves is established by constructing two auxiliary monotone dynamical systems combined with a global coupling condition.
Wenjie Hu, Wenjie Hu
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Solution of ordinary differential equations via nonlocal transformations
Journal of Physics A: Mathematical and General, 2001Summary: The classical Lie analysis provides a useful technique for the solution of ordinary differential equations via point symmetries/transformations. Unfortunately, the requirement that an \(n\)th-order equation possesses at least an \(n\)-dimensional solvable Lie algebra of symmetries is only satisfied by a select number of equations.
R M Edelstein +2 more
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Hidden and Nonlocal Symmetries of Nonlinear Differential Equations
1993New results on hidden and nonlocal symmetries of nonlinear ordinary differential equations (NLODEs) are presented. Two types of hidden symmetries have been identified. A type I (II) hidden symmetry of an ODE occurs if a symmetry is lost (gained) when the order of the ODE is reduced.
A. Guo, B. Abraham-Shrauner
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Nonlinear elliptic differential equations with nonlocal boundary conditions
Acta Mathematica Hungarica, 1990The author proves the existence of weak solutions to the class of boundary value problems of the form: \[ \sum_{|\alpha|\leq1}(- 1)^{|\alpha|}D^ \alpha f_ \alpha(x,u,Du)+g(x,u,Du)=F, \hbox { in } \Omega\subset\mathbb{R}^ n, \] \[ \sum_{|\alpha|=1}f_ \alpha(x,u,Du)v_ \alpha+h_ 1(x,u)+h^*_ 2(x,u(\Phi(x))) =0, \hbox { on } \partial \Omega, \] where ...
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On a First Order Partial Differential Equation with Nonlocal Nonlinearity
Mathematische Nachrichten, 1983This paper discusses solvability and asymptotic time behavior of solutions of a nonlinear integro-differential equation, adopted as a model of a continuous stirred tank emulsion polymerization reactor. A monotonicity argument is used to establish the existence and uniqueness of the stationary solution.
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Nonlinear differential equations with nonlocal conditions in Banach spaces
Nonlinear Analysis: Theory, Methods & Applications, 2005The author studies the following nonlocal initial value problem \[ u'(t)\in Au(t)+f(t,u(t)) ,\quad t \in (0,b) , u(0)=g(u) , \] where \(A\) is a nonlinear, \(m\)-dissipative multi-valued operator which generates a contraction semigroup \(T(t)\) in a Banach space \(X\), \(f:[0,b] \times D \to X, g: C([0,b],D) \to \overline{D(A)}\) are functions with \(D(
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Differential equations with nonlocal boundary conditions
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +2 more sources
Differentiability and integrability properties for solutions to nonlocal equations
New Trends in Differential Equations, Control Theory and Optimization, 2016Mikil Foss, Petronela Radu
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