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Upper and Lower Solutions Method for Systems
In this chapter we introduce the Upper and lower solutions method for systems upper and lower solutions method for the boundary value problem of... -
Analysis of Neutral Fractional Differential Equation via the Method of Upper and Lower Solution
This manuscript is concerned about the study of the existence of solutions for the class of nonlinear neutral Caputo-Hadamard fractional differential...
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Upper and Lower Solutions Method for Single Equations
In this chapter we introduce the upper and lower solutions method for the boundary value problem of elliptic single equations. -
Upper and lower solutions method for a class of second-order coupled systems
This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential...
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Lower and upper solutions for damped elastic systems with delay in ordered Banach space
In this paper, based on monotone iterative method in the presence of the lower and upper solutions, a class of nonlocal problem of structural damped...
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The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses
In this article, we study the existence of mild solutions for a class of Hilfer fractional evolution equations with non-instantaneous impulses in...
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Upper and Lower Bounds for the Height of Proofs in Sequent Calculus for Intuitionistic Logic
Upper and lower bounds for the height of proofs in sequent calculus for intuitionistic logic are proved for the case when cut formulas may only...
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Subnetwork constraints for tighter upper bounds and exact solution of the clique partitioning problem
We consider a variant of the clustering problem for a complete weighted graph. The aim is to partition the nodes into clusters maximizing the sum of...
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A Lower/Upper Solutions Result for Generalised Radial p-Laplacian Boundary Value Problems
We provide existence results to some planar nonlinear boundary value problems, in the presence of lower and upper solutions. Our results apply to a...
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Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises
In this paper, we obtain matching upper and lower moment bounds for the solution to stochastic partial differential equation driven by a general...
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Upper and lower convergence rates for strong solutions of the 3D non-Newtonian flows associated with Maxwell equations under large initial perturbation
We show the upper and lower bounds of convergence rates for strong solutions of the 3D non-Newtonian flows associated with Maxwell equations under a...
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A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds
In this paper, we observe an interesting phenomenon for a weak Galerkin (WG) approximation of eigenvalue problems, that is, we may obtain good...
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Lower and Upper Estimates of the Quantity of Algebraic Numbers
It is well known that the set of algebraic numbers (let us call it A ) is countable. In this paper, instead of the usage of the classical terminology...
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On the study of the positive solutions of a BVP under \(\psi \)-Riemann–Liouville fractional derivative via upper and lower solution method
In this paper, we study the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional integro-differential...
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On lower and upper bounds for single machine parallel batch scheduling
In this paper, we consider a single machine parallel batch scheduling problem subject to chains of jobs. We present polynomial lower and upper bounds...
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Lower Semicontinuity
As we saw in the two previous chapters, the standard way to prove the existence of a solution to a variational problem consists in what is called the... -
Boundary Layers on the Upper/Lower Surfaces of Reinforced Plates
AbstractThe periodicity-cell problems of homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature...
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Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes
In this article, relying on Foster–Lyapunov drift conditions, we establish subexponential upper and lower bounds on the rate of convergence in the
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