Strong singularities in mixed boundary value problems
نویسندگان
چکیده
منابع مشابه
Strong Singularities in Mixed Boundary Value Problems
where [0, T ] ⊂ . We assume that D ⊂ 2 , f satisfies the Carathéodory conditions on (0, T ) × D , p ∈ C[0, T ] and 1/p need not be integrable on [0, T ]. Here f can have time singularities at t = 0 and/or t = T and a space singularity at x = 0. Moreover, f can change its sign. Provided f is nonnegative it can have even a space singularity at y = 0. We present conditions for the existence of sol...
متن کاملBoundary value problems with regular singularities and singular boundary conditions
where skm are real numbers, pk0(t) ∈ C2[a,b], p00(t)p20(t) = 0, p00(t)/p20(t) > 0 for t ∈ [a,b]. Let s2m < s0m + 2, s2m ≤ s1m + 2, m = 0,1, that is, we consider the case of so-called regular singularities. Operators with irregular singularities possess different qualitative properties and require different investigations. Since the solutions of (1.1) may have singularities at the endpoints of t...
متن کاملTwo-point Boundary Value Problems for Higher-order Linear Differential Equationswith Strong Singularities
Here n≥ 2, m is the integer part of n/2, −∞ < a < b < +∞, pi ∈ Lloc(]a,b[) (i= 1, . . . ,n), q ∈ Lloc(]a,b[), and by u(i−1)(a) (by u( j−1)(b)) is understood the right (the left) limit of the function u(i−1) (of the function u( j−1)) at the point a (at the point b). Problems (1.1), (1.2) and (1.1), (1.3) are said to be singular if some or all coefficients of (1.1) are non-integrable on [a,b], ha...
متن کاملPropagation of Singularities of Solutions to Semilinear Boundary Value Problems
Let P be a second-order, strictly hyperbolic differential operator on an open region Q C R n (n > 3) with smooth noncharacteristic boundary. Given a solution u G fffoc(n), s > (n + l ) /2 , to Pu = f(x,u), we discuss the propagation of microlocal H singularities in the range s < r < 2s — n/2 in the general case where the Hamilton field of p may be tangent to dT* f2\0 to arbitrarily high finite ...
متن کاملBoundary value problems for differential equations with singularities
En la Tesis se estudia tres problemas clásicos en la teoŕıa de las ecuaciones diferenciales ordinarias singulares (uno de ellos dio origen a esta consolidada disciplina). Para ello se inicia con un caṕıtulo general que estudia ecuaciones diferenciales singulares de tipo Liénard con término de fricción también singular, esto supone un avance interesante con relación a la extensa literatura sobre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2006
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2006.133975