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Parabolic Systems in Unbounded Domains I. Existence and Dynamics
Parabolic Systems in Unbounded Domains I. Existence and Dynamics ... Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs (1964). 6 ... into a semi-infinite medium containing another with a second order reaction ... accessShopping cartContact and supportTerms and conditionsPrivacy policy.
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Boundary value problems for second order nonlinear differential
Boundary value problems for second order nonlinear differential equations ... spaces L2(0,∞) and L2(−∞,∞), and include boundary conditions at infinity. ... Existence and uniqueness for nonlinear boundary value problems on infinite intervals ... A boundary value problem on an unbounded domain ... Systems, 8 ( 2000), pp.
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Asymptotic behavior of solutions of second order parabolic partial
Classical solutions of a second order parabolic partial differential equation ... Results on the asymptotic behavior of parabolic equations and systems with unbounded ... To extend the maximum principle to unbounded domains, it is necessary to ... iThe growth conditions on the coefficients of L are as follows (we adopt the ...
[ 1-s2.0-0022039680900364-main.pdf?_tid=0558b406-09d9-11e5-af61-00000aacb361&acdnat=1433326521_10d8561af01b3bf4c3bdb8f0e7cf11d8 - Read/Download File

A Note on Bounded Solutions of Second Order Differential
successful in proving the existence of bounded solutions for nonlinear differential equations at ... When the domain is unbounded (the half-line: ... inetersting results for the system of differential equations of Duffing's type: x (t)+[b(t)I + ... space, if, for A = 0, we shall ask about the conditions for which the equation x = h( t), h : R ...
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Finite Difference Schemes on unbounded Domains - OPUS 4
... strategies to construct so–called discrete artificial boundary conditions (ABCs) and present ... fraction expansion to a second–order difference equation. Our ap- ... solution on the unbounded domain (restricted to the finite domain), one refers to ... (strictly hyperbolic systems, with constant coefficients in 1D) is con- structed.
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Positive solutions of boundary value problems for systems of second
existence of positive solutions for multi-point boundary value problems, and ob- tained many ... second-order differential equations with integral boundary condition. In [15, 16] ..... tions on unbounded domains in a Banach space, Applied Math.
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Existence of homoclinic orbits for second order Hamiltonian systems
The existence of homoclinic orbits is obtained for a class of the second order Hamil- ... Since the domain is unbounded, there is a lack of compactness of the Sobolev ... SECOND ORDER HAMILTONIAN SYSTEMS WITHOUT (AR) CONDITION .... tems, Dynamical systems and differential equations (Wilmington, NC, 2002), ...
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Feb 29, 2016 ... operator with the boundary conditions be any positive integer. ... reduced to a second-order ordinary differential system with resonant ... A : l2 → l2 is a bounded linear operator satisfying 1 ≤ dim ker(I ...... [13] N. Kosmatov; Multi-point boundary value problems on an unbounded domain at resonance,.
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unbounded domains with non-homogeneous boundary conditions, Nonlinear Anal. ... in Unbounded Cylinders, In: Progress in Nonlinear Differential Equations .... On the existence of homoclinic orbits for a second-order Hamiltonian system,.
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Chapter 20 Nonlinear Ordinary Differential Equations
Dec 11, 2012 ... First Order Systems of Ordinary Differential Equations. ... Technically, a second constant of integration should appear here, but this can be ... constant solution u(t ) ≡ 0, corresponding to the initial condition u0 = 0. ..... the solutions to the scalar initial value problem (20.8) only exist up until time 1/u0, and.
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Nonlinear discrete fractional mixed type sum-difference equation
Jul 22, 2014 ... Under certain suitable nonlinear growth conditions imposed on the ... problem; Banach space; existence and uniqueness; Banach ...... E; then the discrete fractional partial difference system ( . .... Liu, Y: Boundary value problems for second order differential equations on unbounded domains in a Banach ...
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Linear Differential Operators and Green's - UC Davis Mathematics
From Theorem 5.19, if A is a bounded linear operator on a dense domain ... boundary conditions for A, and the domain V(A ) defines adjoint boundary condi- .... and we consider second-order ordinary differential operators A of the form ... homogeneous system of linear equations that involves the values of u and u' at the.
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Methods for Nonlinear Elliptic Problems - American Mathematical
conditions into a finite-difference scheme and present the results of ... The second method of reduction to a finite domain is to introduce an artificial .... much more general systems, to higher-order equations, and we can allow variations ... experiments relating to the existence of solutions in unbounded domains are also .
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Green Functions for Parabolic Second Order Integro-Differential
Mar 29, 1996 ... boundary conditions have a fairly low regularity (Hölder continuity only). This implies ... principles, and the existence and uniqueness results). ... solution of the parabolic second order integro–differential equation. ... bounded and unbounded domains, because this is the only case we will make use of. On.
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Lecture Notes on Elliptic Partial Differential Equations - cvgmt
2.2 Inhomogeneous boundary conditions . ... 5 Decay estimates for systems with constant coefficients. 43 .... For unbounded domains, including the whole space Rn, the definition is ..... Theorem 1.13 (Poncaré inequality, second version). ... In order to obtain existence we just need to apply Riesz's theorem to the associated.
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Multiple Positive Solutions for Boundary Value Problems of Second
Dec 28, 2009 ... ary value problems of second-order differential equations system with integral ... solutions with suitable growth conditions imposed on the nonlinear terms. ... theorem in a cone, we studied the existence of positive solutions of boundary ...... on unbounded domains in a Banach space, Applied Math. Comput.
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Pullback Exponential Attractors for Non-autonomous Lattice Systems
We first present some sufficient conditions for the existence and the construction of ... of pullback exponential attractors for first order non-autonomous differential ... of nonautonomous dynamical systems in unbounded domains: An example. ... Abdallah A.Y.: Exponential attractors for second order lattice dynamical systems.
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Nonlinear second order parabolic and elliptic equations with
On the one hand, we consider nonlinear parabolic equations and systems with nonlinear boundary conditions in which the domain in time is unbounded, namely ... One the other hand, we study the existence of (weak) solutions for linear .... and closure Ω. We suppose that L is a uniformly elliptic differential operator with.
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Nonlinear Ordinary and Partial Differential Equations on Unbounded
Mar 17, 2005 ... Solutions are shown to exist for a variety of differential equations. ... condition at infinity; it is demanded that solutions decay towards zero ..... that A is a second order differential operator, so we seek solutions u such that the second- .... If Ω is an unbounded domain in Rd, we denote by C{0}(Ω, X) the space ...
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Nonlinear Analysis Unbounded upper and lower solutions method
boundary value problem of a second order ordinary differential equation on infinite intervals ... By employing the degree theory and upper and lower solutions on compact domains, the authors obtained the existence of ... conditions than those in [12], the existence of positive solutions are also ..... Systems Appl. 15 (1) (2006).
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