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Differentialdifference equations
, 1963
"... are solved, where either f(x) or g(x) is specified in certain intervals in the range 0 ^ x < oo, with up to four intervals. r(f) may be different for different intervals. It is shown that the solution is closely allied to that of a type of FourierBessel series with mixed boundary values so that ..."
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Cited by 312 (0 self)
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are solved, where either f(x) or g(x) is specified in certain intervals in the range 0 ^ x < oo, with up to four intervals. r(f) may be different for different intervals. It is shown that the solution is closely allied to that of a type of FourierBessel series with mixed boundary values so
Journal of Difference Equations and Applications,
, 2003
"... A note on the difference equation ..."
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
 J. COMP. PHYS
, 1981
"... Several numerical schemes for the solution of hyperbolic conservation laws are based on exploiting the information obtained by considering a sequence of Riemann problems. It is argued that in existing schemes much of this information is degraded, and that only certain features of the exact solution ..."
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Cited by 950 (2 self)
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are worth striving for. It is shown that these features can be obtained by constructing a matrix with a certain “Property U.” Matrices having this property are exhibited for the equations of steady and unsteady gasdynamics. In order to construct them, it is found helpful to introduce “parameter vectors
difference equations
, 1992
"... 1)F(t)+ Q(t) and their associated Hermitian matrices H(t) = (0 v F * _C,C.)(t) are studied. Solution of different Riccati equations can be compared if the difference of their corresponding Hermitian matrices is semidefinite for all t. An application to the discretetime LQ optimal control problem is ..."
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1)F(t)+ Q(t) and their associated Hermitian matrices H(t) = (0 v F * _C,C.)(t) are studied. Solution of different Riccati equations can be compared if the difference of their corresponding Hermitian matrices is semidefinite for all t. An application to the discretetime LQ optimal control problem
The Askeyscheme of hypergeometric orthogonal polynomials and its qanalogue
, 1998
"... We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue 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 570 (6 self)
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differential or difference equation, the forward and backward shift operator, the Rodriguestype formula and generating functions of all classes of orthogonal polynomials in this scheme. In chapter 2 we give the limit relations between different classes of orthogonal polynomials listed in the Askey
On the stability of linear stochastic difference equations
, 1990
"... On the stability of linear stochastic difference equations ..."
The HamiltonJacobi Difference Equation
"... . We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R 2m . In particular, we construct a differentialdifference equation which we call the HamiltonJacobi difference equation, the analog of the HamiltonJacobi equation ..."
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. We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R 2m . In particular, we construct a differentialdifference equation which we call the HamiltonJacobi difference equation, the analog of the HamiltonJacobi equation
Boundedness and Stability of Difference Equations
, 2001
"... This paper is concerned with the qualitative behaviour of solutions to difference equations. We focus on boundedness and stability... ..."
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This paper is concerned with the qualitative behaviour of solutions to difference equations. We focus on boundedness and stability...
Results 1  10
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2,302,989