EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 121 – 140 of 311

Nonlinear analysis. New arguments and results. II.

Lamberto Cesari (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.

Nonlinear boundary value problems for second order differential inclusions

Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)

Czechoslovak Mathematical Journal

In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form $x \mapsto a {(x, x^{'})}^{'}$ . In this problem the maximal monotone term is required to be defined everywhere in the state space $ℝ^{N}$ . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form $x \mapsto {(a (x) x^{'})}^{'}$ . In this case the maximal...

Nonlinear contractive conditions: A comparison and related problems

Jacek Jachymski, Izabela Jóźwik (2007)

Banach Center Publications

We establish five theorems giving lists of nonlinear contractive conditions which turn out to be mutually equivalent. We derive them from some general lemmas concerning subsets of the plane which may be applied both in the single- or set-valued case as well as for a family of mappings. A separation theorem for concave functions is proved as an auxiliary result. Also, we discuss briefly the following problems for several classes of contractions: stability of procedure of successive approximations,...

Nonlinear diffusion equations with perturbation terms on unbounded domains

Kurima, Shunsuke (2017)

Proceedings of Equadiff 14

This paper considers the initial-boundary value problem for the nonlinear diffusion equation with the perturbation term $u_{t} + (- Δ + 1) β (u) + G (u) = g in Ω \times (0, T)$ in an unbounded domain $Ω \subset ℝ^{N}$ with smooth bounded boundary, where $N \in ℕ$ , $T > 0$ , $β$ , is a single-valued maximal monotone function on $ℝ$ , e.g., $β (r) = {| r |}^{q - 1} r (q > 0, q \neq 1)$ and $G$ is a function on $ℝ$ which can be regarded as a Lipschitz continuous operator from ${(H^{1} (Ω))}^{*}$ to ${(H^{1} (Ω))}^{*}$ . The present work establishes existence and estimates for the above problem.

Nonlinear diffusion with jumps

Carl Graham (1992)

Annales de l'I.H.P. Probabilités et statistiques

Nonlinear eigenvalue problems

Walter Petry (1973)

Commentationes Mathematicae Universitatis Carolinae

Non-linear eigenvalue problems and bifurcations for differentiable multivalued maps

Renato Guzzardi (1985)

Annales Polonici Mathematici

Nonlinear Eigenvalue Problems with Monotonically Compact Operators. (Short Communication).

Theodore Laetsch (1975)

Aequationes mathematicae

Nonlinear eigenvalue problems with monotonically compact operators.

Theodore Laetsch (1975)

Aequationes mathematicae

Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue

Pavel Drábek (1981)

Aplikace matematiky

In this paper existence and multiplicity of solutions of the elliptic problem $ℒ u + λ_{1} u + μ u^{+} v u^{-} + g (x, u) = f$ in $Ω$ $B u = 0$ on $\partial Ω$ , are discussed provided the parameters $μ$ and $v$ are close to the first eigenvalue $_{1}$ . The sufficient conditions...