Saddle Points and Multiple Solutions of Differential Equations.
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Herbert Amann (1979)
Mathematische Zeitschrift
Gregory S. Spradlin (2007)
ESAIM: Control, Optimisation and Calculus of Variations
A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.
Cho, Yeol Je (ed.), Kim, Jong Kyu (ed.) (2010)
Journal of Inequalities and Applications [electronic only]
Eberhard Schock (1986/1987)
Numerische Mathematik
Cuevas, Claudio, Lizama, Carlos (2008)
Advances in Difference Equations [electronic only]
Horst R. Thieme, Hauke Vosseler (2003)
Banach Center Publications
The semilinear Cauchy problem (1) u’(t) = Au(t) + G(u(t)), , with a Hille-Yosida operator A and a nonlinear operator G: D(A) → X is considered under the assumption that ||G(x) - G(y)|| ≤ ||B(x -y )|| ∀x,y ∈ D(A) with some linear B: D(A) → X, , where V is of suitable small strong variation on some interval [0,ε). We will prove the existence of a semiflow on that provides Friedrichs solutions in L₁ for (1). If X is a Banach lattice, we replace the condition above by |G(x) - G(y)| ≤ Bv whenever...
Berkovits, J., Fabry, C. (2004)
Portugaliae Mathematica. Nova Série
Miel, George J. (1981)
International Journal of Mathematics and Mathematical Sciences
Argyros, Ioannis K. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Verma, Ram U. (2006)
Journal of Applied Mathematics and Stochastic Analysis
Moudafi, Abdellatif, Noor, Muhammad Aslam (1999)
Journal of Applied Mathematics and Stochastic Analysis
Noor, Muhammad Aslam (2009)
Applied Mathematics E-Notes [electronic only]
Liu, Zeqing, Zhu, Beibei, Kang, Shin Min, Kim, Gwang Il (2005)
International Journal of Mathematics and Mathematical Sciences
Athanassios Kartsatos (1995)
Studia Mathematica
Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and . Then . If, moreover, Case (i) or (ii) holds and T is of type , or Case (iii) holds and T is of type , then M ⊂ TG. Various results of Morales,...
Liu, Min, Chang, Shih-Sen, Zuo, Ping (2010)
Journal of Inequalities and Applications [electronic only]
Michal Fečkan (1992)
Commentationes Mathematicae Universitatis Carolinae
Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.
Jan Eisner, Milan Kučera, Lutz Recke (2012)
Mathematica Bohemica
We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. We describe smooth branches of smooth nontrivial solutions bifurcating from the trivial solution branch in eigenvalues of the linearized problem. In particular, the contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tools of the proof...
Djairo G. de Figueiredo, Orlando Lopes (2008)
Annales de l'I.H.P. Analyse non linéaire
Zhen Mei (1992)
Manuscripta mathematica
Werner C. Rheinboldt, James P. Fink (1984)
Numerische Mathematik
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