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Displaying 61 – 80 of 319

On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions

S. Carl, S. Heikkilä (1999)

Annales Polonici Mathematici

We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.

On discontinuous quasi-variational inequalities

Liang-Ju Chu, Ching-Yang Lin (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, we derive a general theorem concerning the quasi-variational inequality problem: find x̅ ∈ C and y̅ ∈ T(x̅) such that x̅ ∈ S(x̅) and ⟨y̅,z-x̅⟩ ≥ 0, ∀ z ∈ S(x̅), where C,D are two closed convex subsets of a normed linear space X with dual X*, and $T : X \to 2^{X *}$ and $S : C \to 2^{D}$ are multifunctions. In fact, we extend the above to an existence result proposed by Ricceri [12] for the case where the multifunction T is required only to satisfy some general assumption without any continuity. Under a kind of Karmardian’s...

On Diviccaro, Fisher and Sessa open questions

Ljubomir B. Ćirić (1993)

Archivum Mathematicum

Let $K$ be a closed convex subset of a complete convex metric space $X$ and $T, I : K \to K$ two compatible mappings satisfying following contraction definition: $T x, T y) \leq (I x, I y) + (1 - a) max {I x . T x), I y, T y)}$ for all $x, y$ in $K$ , where $0 < a < 1 / 2^{p - 1}$ and $p \geq 1$ . If $I$ is continuous and $I (K)$ contains $[T (K)]$ , then $T$ and $I$ have a unique common fixed point in $K$ and at this point $T$ is continuous. This result gives affirmative answers to open questions set forth by Diviccaro, Fisher and Sessa in connection with necessarity of hypotheses of linearity and non-expansivity of $I$ in their Theorem [3]...

On Edmunds-Triebel spaces.

Nikolova, L., Zachariades, T. (2010)

Banach Journal of Mathematical Analysis [electronic only]

On Eigenfunction Branches of Nonlinear Operators, and their Bifurcations.

George H., Jr. Pimbley (1970)

Mathematische Zeitschrift

On equilibrium point in topological vector spaces

Olga Hadžić (1982)

Commentationes Mathematicae Universitatis Carolinae

On evolution inclusions associated with time dependent convex subdifferentials

Nikolaos S. Papageorgiou (1990)

Commentationes Mathematicae Universitatis Carolinae

On existence and an asymptotic behavior of random solutions of a class of stochastic functional-integral equations

Dominik Szynal, Stanisław Wędrychowicz (1987)

Colloquium Mathematicae

On existence of a solution for the system of generalized vector quasi-equilibrium problems with upper semicontinuous set-valued maps.

Peng, Jianwen, Yang, Xinmin (2005)

International Journal of Mathematics and Mathematical Sciences

On existence of equilibrium pair for constrained generalized games.

Srinivasan, P.S., Veeramani, P. (2004)

Fixed Point Theory and Applications [electronic only]

On existence of extremal solutions of nonlinear functional integral equations in Banach algebras.

Dhage, B.C. (2004)

Journal of Applied Mathematics and Stochastic Analysis

On Existence of Positive Periodic Solutions.

Klaudiusz Wójcik (1998)

Monatshefte für Mathematik

On existence of solutions of a neutral differential equation with deviation argument.

Leszek Olszowy (2010)

Collectanea Mathematica

On existence of solutions to degenerate nonlinear optimization problems

Agnieszka Prusińska, Alexey Tret'yakov (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

We investigate the existence of the solution to the following problem min φ(x) subject to G(x)=0, where φ: X → ℝ, G: X → Y and X,Y are Banach spaces. The question of existence is considered in a neighborhood of such point x₀ that the Hessian of the Lagrange function is degenerate. There was obtained an approximation for the distance of solution x* to the initial point x₀.

On existence theorems for semilinear equations and applications

Fang Zhang, Feng Wang (2013)

Annales Polonici Mathematici

Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.

Currently displaying 61 – 80 of 319

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