Results 221 to 230 of about 318,439 (262)
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Examples of the nonexistence of a solution in the presence of upper and lower solutions
The ANZIAM Journal, 2003AbstractStandard results for boundary value problems involving second-order ordinary differential equations ensure that the existence of a well-ordered pair of lower and upper solutions together with a Nagumo condition imply existence of a solution.
Habets, Patrick, Pouso, Rodrigo L.
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Upper and lower bounds for the solutions of Markov renewal equations
Mathematical Methods of Operations Research, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gang Li, Jiaowan Luo
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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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On the Construction of Upper and Lower Solutions by the Nagumo Method
Differential Equations, 2004The author considers the Dirichlet boundary value problem \[ y''=f(x,y,y'),\quad x\in(a,b),\; y(a)=y_0,\quad y(b)=y_1. \] Provided that the partial derivatives \(f_y\) and \(f_{y'}\) are continuous on a suitable set, the existence of at least one solution lying between a pair of well-ordered lower and upper solutions is proved.
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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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Second Order Problems and Lower and Upper Solutions
2021This chapter is devoted to the study of second-order boundary value problems and second-order problems on unbounded domains. First, we prove existence of Caratheodory solutions between a pair of well-ordered lower and upper solutions and, moreover, we give additional conditions in order to guarantee the existence of extremal solutions.
Rubén Figueroa Sestelo +2 more
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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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Upper and lower bounds for solutions to the transport equation
AIChE Journal, 1966AbstractThe collocation method and a maximum principle are used to generate pointwise, improvable upper and lower bounds for solutions of the transport equation. This new method of analysis is applicable to the unsteady state transport equation with a specified velocity field as well as to other problems which have a maximum principle.
Bruce A. Finlayson, L. E. Scriven
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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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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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