123298075
Eindeutigkeitssätze für gewöhnliche, parabolische und hyperbolische Differentialgleichungen
120951143
Verallgemeinerte Laplace-Operatoren und Potentiale
119458260
Inequalities involving derivatives
119084957
On Max Muller's existence-comparison theorem for infinite systems of ordinary differential equations
122832071
THERE IS AN ELEMENTARY PROOF OF PEANO'S EXISTENCE THEOREM.
Abstract : An elementary, constructive proof of Peano's existence theorem is given. The maximal solution is constructed as a limit of a decreasing sequence of approximate solutions. (Author)
121170503
Solution of the stability problem for a class of generalized volterra prey-predator systems☆
where ei,pij, and qj are real constants, ui are real-valued continuous functions of t for t > 0, and zii = dui/dt. Both equations are required for i = 1, 2,..., m. Condition (lb) is here considered to be a restriction on the vector e = (ei) rather than on the matrix p = (pii) as is more usual. The hypothesis ~~(0) > 0, qi > 0 is appropriate in applications but as far as the mathematical development is concerned, it could be replaced by qiui(0) > 0. A discussion of historical background can be found in the papers [4,5], to which the present paper is a sequel. Suffice it to say here that the chief landmarks are: Volterra’s book [6], La Salle’s theorem [ 1, 21, and Krikorian’s analysis of the case n = 3 [3]. References [4,5] provide useful
1300115
Flexible precision control and dynamic data structures for programming mathematical and numerical algorithms