This paper studies a new class of boundary value problems of nonlinear differential inclusions with Riemann-Liouville integral boundary conditions arising from real estate asset securitization and HIV models. Some new existence results are obtained by using standard fixed point theorems when the right-hand side of the inclusion has convex as well as non-convex values. Some illustrative examples...

New bounds are derived on the e ective heat conductivity tensor for an anisotropic two-phase composite with interfacial surface resistance between phases. The new upper bound is given in terms of the two-point correlation function, component volume fractions and moment of inertia tensor for the surface of each heterogeneity. The new lower bound is given in terms of the interfacial surface area,...

The inverse problem of electrical impedance tomography (EIT) is to recover the conductivity inside an investigated object from boundary measurements of current and voltage. There is a variety of methods to localize inclusions, i.e. domains in which the conductivity is different from the background conductivity such as e.g. the Factorization method. However, these qualitative methods don’t provi...

In this paper, we present a high-order expansion for elliptic equations in highcontrast media. The background conductivity is taken to be one and we assume the medium contains high (or low) conductivity inclusions. We derive an asymptotic expansion with respect to the contrast and provide a procedure to compute the terms in the expansion. The computation of the expansion does not depend on the ...

Isotopic compositions of U and Pb were determined for relict zircon inclusions recovered from Muong Nong-type tektites from the Australasian and North American strewn fields. These inclusions are generally opaque white with granular textures, probably representing mechanical disaggregation and/or local melting and recrystallization. All zircons have strongly discordant U–Pb isotopic ratios and ...

Introduction: It has been revealed that both of the thermal and aqueous alteration had occurred in the CV parent body [1, 2, 3]. To give a constraint to the alteration processes, the Allende meteorite can be a best example, because the following results indicate that the Allende is the strongest altered meteorite among the CV chondrites, those are: (a) homogeneity of the olivine in matrix of th...

We show the existence result of viable solutions to the differential inclusion ẋ(t) ∈ G(x(t)) + F (t, x(t)) x(t) ∈ S on [0, T ], where F : [0, T ] × H → H (T > 0) is a continuous set-valued mapping, G : H → H is a Hausdorff upper semi-continuous set-valued mapping such that G(x) ⊂ ∂g(x), where g : H → R is a regular and locally Lipschitz function and S is a ball, compact subset in a separable H...

We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implicit quasivariational inclusions and construct some new stable perturbed iterative algorithms with errors. We also give an application to a class of generalized nonlinear implicit variationa...

In this paper, we derive necessary optimality conditions for optimization problems deened by non-convex diierential inclusions with endpoint constraints. We do this in terms of parametrizations of the convexiied form of the diierential inclusion and, under additional assumptions, in terms of the inclusion itself.

A two point boundary value problem for differential inclusions with relaxed one sided Lipschitz right-hand side in Banach spaces with uniformly convex duals are studied. We use successive approximations to obtain nonemptiness and compactness of the solution set as well as its continuous dependence from the initial conditions and the right-hand side. The relaxation theorem is also proved. AMS su...