symmetric Schrödinger operators: reality of the perturbed eigenvalues.
Pachpatte inequalities on time scales.
Painlevé equations and complex reflections
We will explain how some new algebraic solutions of the sixth Painlevé equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-- Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.
Painlevé property of a degenerate Garnier system of (9/2)-type and of a certain fourth order non-linear ordinary differential equation
Painlevé's determinateness theorem extended to proper coverings.
Painlevé’s theorem extended
Painlevé's Theorem on automorphic functions.
Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system.
Parabolic equations with coefficients depending on t and parameters
Parabolic equations with deviating argument
Parabolic equations with deviating argument in advance
Parabolicity of second order differential equations in Hubert space.
Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems
Parallel method for initial value problems for linear ordinary differential equations: speed up estimation
Parallelisms between differential and difference equations
The paper deals with the higher-order ordinary differential equations and the analogous higher-order difference equations and compares the corresponding fundamental concepts. Important dissimilarities appear for the moving frame method.
Parameter influence on passive dynamic walking of a robot with flat feet
The biped robot with flat feet and fixed ankles walking down a slope is a typical impulsive dynamic system. Steady passive gaits for such mechanism can be induced on certain shallow slopes without actuation. The steady gaits can be described by using stable non-smooth limit cycles in phase plane. In this paper, it is shown that the robot gaits are affected by three parameters, namely the ground slope, the length of the foot, and the mass ratio of the robot. As the ground slope is gradually increased,...
Parameters and solutions of linear and nonlinear oscillators.
Parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers.
Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior.
Parameter-uniform fitted operator B-spline collocation method for self-adjoint singularly perturbed two-point boundary value problems.