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SHARP UPPER AND LOWER SOLUTIONS IN SOME PARABOLIC PROBLEMS
Numerical Functional Analysis and Optimization, 2002ABSTRACT In this paper we construct upper and lower solutions for a class of parabolic initial-boundary value problems in terms of the solution of the St-Venant problem and first eigenvalue problem. These bounds are sharp in the sense that they coincide with the exact solution in particular situations.
MARRAS, MONICA, PIRO, STELLA
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Upper and lower solutions for periodic problems
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lower and upper critical solution temperatures of binary polymeric solutions
Fluid Phase Equilibria, 2016Abstract The phase behavior of binary polymeric solutions such as lower and upper critical solution temperatures has an important role in many polymeric processes. For theoretical investigation on the prediction of these temperatures, a substantial number of data points on binary polymeric solutions were collected from literature and used to present ...
Ayoub Ejraei +4 more
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Positive Solutions of the Fractional Relaxation Equation Using Lower and Upper Solutions
Vietnam Journal of Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chidouh, Amar +2 more
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Upper and lower critical solution temperatures in poly (ethylene glycol) solutions
Polymer, 1976Upper and lower critical solution temperatures have been determined for solutions of poly(ethylene glycol) in t-butyl acetate and water over the molecular weight range of Mη = 2.18 × 103 to ∼1020 × 103. The phase diagram for solutions of poly(ethylene glycol) (Mη = 719 × 103) in t-butyl acetate was expressed as the ‘hour glass’ type, while the phase ...
Susumu Saeki +3 more
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Foliations, associated reductions and lower and upper solutions
2002In this interesting paper, the authors answer \textit{J. Mawhin}'s question [Boll. Unione Mat. Ital., VI. Ser., A 3, 229-238 (1984; Zbl 0547.34032)] in establishing the existence of a solution to the periodic boundary value problem \[ u''(t) + g(t,u(t)) = 0, \quad u(0)=u(T), \quad u'(0)=u'(T), \] for \(g\) asymptotically linear and satisfying a ...
C. De Coster, M.E. Tarallo
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Lower and Upper Solutions of Boundary Value Problems
2003The method of lower and upper solutions, coupled with the monotone iterative technique provides an effective and flexible mechanism that offers theoretical as well as constructive existence results for nonlinear problems in a closed set which is generated by the lower and upper solutions.
Elvan Akin-Bohner +2 more
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Invariance, Comparison, and Upper and Lower Solutions
1996This chapter establishes invariance and various inequalities for solutions of abstract integral equations with delay.
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Singular problems motivated from classical upper and lower solutions
Acta Mathematica Hungarica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, R. P., O'Regan, D.
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Upper and lower solution estimates in unilateral viscoelastodynamics
Acta Mechanica, 1987The variational and bounding method of hypercircle for linear, elliptic, boundary-value problems of mathematical physics [e.g. \textit{W. Velte}, Direkte Methoden der Variationsrechnung (1976; Zbl 0333.49035)], is extended in this paper to inequality, evolution problems of time- dependent structural mechanics.
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