In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the obtain blow-up type results and global in t-boundedness of solutions equations p-sub-Laplacian stratified

occurred recency principle and recency proving   saber khalilnejad kiasari [1]   abstract: this article is to investigate one of the practical principles of methodology and jurisprudence as well as occurred recency principle. this principle is at work to clarify many issues concerned with the priority and recency of two carrying judicial and legal effects. here, through explaining the purpose o...

After having briefly recalled the main results shown in the previous Conference (a rigorous definition of Emergy in mathematical terms and a general formulation of the Emergy Balance equation) the paper presents an extremely general mathematical formulation of the Maximum Em-Power Principle. Such a formulation allows us to analyze in particular (but not exclusively): i) in what sense the “maxim...

In this paper, the notions of integral 0 φ -stability of ordinary impulsive differential equations are introduced. The definition of integral 0 φ -stability depends significantly on the fixed time impulses. Sufficient conditions for integral 0 φ -stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the s...

We rigorously prove that the semidiscrete schemes of a Perona-Malik type equation converge, in a long time scale, to a suitable system of ordinary differential equations defined on piecewise constant functions. The proof is based on a formal asymptotic expansion argument, and on a careful construction of discrete comparison functions. Despite the equation has a region where it is backward parab...

although ‘allāma ḥillī and shaykh anṣārī have pointed out the feature of confirmation (iḥrāz) in some of the practical principles, its refinement has been one of mīrzā-yi nā’īnī’s initiatives. he divided the practical principles into “confirming and non-confirming. the confirming principle determines the practical duty of the religiously ccountable (mukallaf) in view of reality, such as: istiṣḥ...

We prove surjectivity of the comparison map from continuous bounded cohomology to continuous cohomology for Hermitian Lie groups with finite center. For general semisimple Lie groups with finite center, the same argument shows that the image of the comparison map contains all the even degree primitive elements. Our proof uses a Hirzebruch type proportionality principle in combination with Gromo...

Two different methods for diagnosing leakage in the air-path of an automotive engine are investigated. The first is based on a comparison between measured and estimated air flows. The second is based on an estimation of the leakage area. The two methods are compared by using a framework of hypothesis testing and especially the power function. The investigation is made first in theory and then a...

provided ƒ(2, x) is "sufficiently small." Our results, which are another contribution to this area, are motivated by two recent studies. Brauer and Wong [ l ] have obtained quite general results on the asymptotic relationships between the solutions of (1) and (2). We significantly weaken the hypotheses of one of their results; see Theorem 1 below. Toroshelidze [4] considered the problem of pert...