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Results 1 - 10
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11,079
Oscillation and Non-oscillation Criteria for Quasi-linear Second Order Differential Equations
"... Abstract: Some oscillation and non-oscillation criteria for quasi-linear second order equations are obtained. These results are extensions of earlier results of C.Huang(J.Math Anal. Appl.210(1997), 712-723), A. Elbert(J.Math.Anal.Apll.226(1998), 207-219) and J.Wong(J.Math.Anal.Apll.291(2004), 180-18 ..."
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Abstract: Some oscillation and non-oscillation criteria for quasi-linear second order equations are obtained. These results are extensions of earlier results of C.Huang(J.Math Anal. Appl.210(1997), 712-723), A. Elbert(J.Math.Anal.Apll.226(1998), 207-219) and J.Wong(J.Math.Anal.Apll.291(2004), 180
USER’S GUIDE TO VISCOSITY SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
, 1992
"... The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking argume ..."
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Cited by 1399 (16 self)
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The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking
Symmetry and Related Properties via the Maximum Principle
, 1979
"... We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting plan ..."
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Cited by 538 (4 self)
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We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting
The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
, 1998
"... We list the so-called Askey-scheme of hypergeometric orthogonal polynomials and we give a q-analogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order differenti ..."
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Cited by 578 (6 self)
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-scheme. In chapter 3 we list the q-analogues of the polynomials in the Askey-scheme. We give their definition, orthogonality relation, three term recurrence relation, second order di#erence equation, forward and backward shift operator, Rodrigues-type formula and generating functions. In chapter 4 we give the limit
An almost ideal demand system.
- American Economic Review,
, 1980
"... Ever since Richard Stone (1954) first estimated a system of demand equations derived explicitly from consumer theory, there has been a continuing search for alternative specifications and functional forms. Many models have been proposed, but perhaps the most important in current use, apart from the ..."
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Cited by 636 (0 self)
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second-order approximation to any arbitrary direct or indirect utility function or, more rarely, a cost function.
Quasi-linear equations in coframe gravity
, 1999
"... We consider a certain variant of teleparallel gravity: a differential manifold endowed with a smooth coframe field. The differentialgeometric structure on the manifold can be characterized by the objects of anholonomity and its derivative- objects of curvature. We construct a full list of the first ..."
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Cited by 1 (1 self)
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and second order SO(1,3)-covariants (one- and two-indexed quantities) and a most general quasi-linear field equation with free parameters. A part of the parameters are fixed by a condition that the field equation is satisfied by a quasi-conformal coframe with a harmonic conformal function. Thus we obtain a
HOMOGENIZATION AND TWO-SCALE CONVERGENCE
, 1992
"... Following an idea of G. Nguetseng, the author defines a notion of "two-scale" convergence, which is aimed at a better description of sequences of oscillating functions. Bounded sequences in L2(f) are proven to be relatively compact with respect to this new type of convergence. A corrector- ..."
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Cited by 451 (14 self)
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linear and nonlinear second-order elliptic equations.
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
- Proc. Japan Acad. Ser. A 65
, 1989
"... This paper treats degenerate parabolic equations of second order (1.1) u t + F{Vu, V 2 w) = 0 ..."
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Cited by 370 (16 self)
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This paper treats degenerate parabolic equations of second order (1.1) u t + F{Vu, V 2 w) = 0
The Optimal Control of Second Order Quasi-Linear Equipotential Flows
"... This research studies the optimal control of Laplacian group of equations of the second differential order and quasilinear or first degree equations in nature. The study categorizes the research into one- through to the nthdimensional cases as points of generalization. The numerical values and physi ..."
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This research studies the optimal control of Laplacian group of equations of the second differential order and quasilinear or first degree equations in nature. The study categorizes the research into one- through to the nthdimensional cases as points of generalization. The numerical values
Results 1 - 10
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11,079
