Displaying similar documents to “First-order singular and discontinuous differential equations.”

Existence of solutions to weak nonlinear bilevel problems MinSup and d.c. problems

Abdelmalek Aboussoror, Abdelatif Mansouri (2008)

RAIRO - Operations Research

Similarity:

In this paper, which is an extension of [4], we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.

The method of upper and lower solutions for a Lidstone boundary value problem

Yanping Guo, Ying Gao (2005)

Czechoslovak Mathematical Journal

Similarity:

In this paper we develop the monotone method in the presence of upper and lower solutions for the 2 nd order Lidstone boundary value problem u ( 2 n ) ( t ) = f ( t , u ( t ) , u ' ' ( t ) , ⋯ , u ( 2 ( n - 1 ) ) ( t ) ) , 0 < t < 1 , u ( 2 i ) ( 0 ) = u ( 2 i ) ( 1 ) = 0 , 0 ≤ i ≤ n - 1 , where f [ 0 , 1 ] × ℝ n → ℝ is continuous. We obtain sufficient conditions on f to guarantee the existence of solutions between a lower solution and an upper solution for the higher order boundary value problem.

Non-negative solutions to fast diffusions.

Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)

Revista Matemática Iberoamericana

Similarity:

The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation ∂u/∂t = ∆φ(u),   x ∈ Rn, 0 &lt; t &lt; T ≤ +∞.