Results 211 to 220 of about 21,141 (257)
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On Hyperbolic Partial Differential Equations
American Journal of Mathematics, 1952where p = zx, q = zy, it is assumed that f is continuous in (x, y, z, p, q) and satisfies a uniform Lipschitz conditioni with respect to (z, p, q). It will be shown (Section 2) that the assumption of a Lipschitz. condition with respect to z can be omitted in these existence theorems, though not in the uniqueness theorems.
Hartman, Philip, Wintner, Aurel
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Manifold spines and hyperbolicity equations
2001The authors present a combinatorial representaion of gluing 3-manifolds and their special spines. This is done using graphs encoded by \(\gamma\)-tuples of non-negative integers. More precisely, they use the result of Casler which states that two 3-manifolds with homeomorphic special spines are homeomorphic.
RUINI, Beatrice, SPAGGIARI, Fulvia
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Oscillation of a class of hyperbolic equations
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peiguang Wang, Weigao Ge
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Semilinear equations in the “hyperbolic” case
Nonlinear Analysis: Theory, Methods & Applications, 1995The author obtains a `generalized variation of constants formula' for the solutions in generalized sense to the inhomogeneous initial value problem (A) \(u'(t)= A(t) u(t)+ f(t)\) for \(t\in [0, T]\), \(u(0)= x\), where \(\{A(t)\}\) is a family of closed linear operators in \(X\) satisfying all conditions corresponding to the `hyperbolic' case except ...
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Composite Methods for Hyperbolic Equations
SIAM Journal on Numerical Analysis, 1977A composite scheme is presented which combines the properties of the Lax–Wendroff and leapfrog algorithms. The stability properties in one dimension are analyzed for both the pure initial value and for the initial boundary value problem. In two space dimensions one must be careful which generalization of Lax–Wendroff and which generalization of ...
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Extended hyperbolic function method for the (2 +1)-dimensional nonlinear soliton equation
Results in Physics, 2022Mansour F Yassen +2 more
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Computational Methods for Hyperbolic Equations
2008This is an introduction to some of the basic concepts on modern numerical methods for computing approximate solutions to hyperbolic partial differential equations. This chapter is divided into five sections. Section 1 contains a review of some elementary theoretical concepts on hyperbolic equations, mainly focused on the linear case; the Riemann ...
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