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1
100%
Demonstratio Mathematica
2
100%
Demonstratio Mathematica
3
80%
Journal of Theoretical and Applied Mechanics
2006 Vol. 44 nr 2 393-403
PL W pracy zaprezentowano numeryczne rozwiązanie jednowymiarowego równania różniczkowego zwyczajnego niecałkowitego rzędu. Rozwiązanie tego równania może opisywać stan ustalony procesu anomalnej dyfuzji. Proces ten wynika z oddziaływań zachodzących w złożonych i niejednorodnych systemach. Zaprezentowan[...]
EN In this paper, we present a numerical solution to an ordinary differential equation of a fractional order in one-dimensional space. The solution to this equation can describe a steady state of the process of anomalous diffusion. The process arises from interactions within complex and non-homogeneous[...]
4
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Fasciculi Mathematici
2007 Nr 38 5-15
EN Boundary value problems for linear and nonlinear polyharmonic equations are studied in this paper. The theorems on uniqueness and existence of solutions for certain class of iterated elliptic equations of In order are proved.
5
80%
Computer Assisted Mechanics and Engineering Sciences
EN This paper presents a global algorithm for parallel computers, suitable to solve nonlinear boundary value problems depending on one parameter. Our method offers a mixture of path continuation and scanning. The former is well-known, the latter is a novel approach introduced a few years ago, capable t[...]
6
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Journal of Applied Mathematics and Computational Mechanics
EN By the method of classical potential theory, we obtain the integral representation of the two-parameter operator semigroup that describes the inhomogeneous Feller process on a closed interval [ r1,r2 ] that is a result of pasting together two diffusion processes given on ( r1,r, ) and ( r, r2 ), res[...]
7
80%
Opuscula Mathematica
EN We study the worst-case ε-complexity of a two-point boundary value problem u″(x) = ƒ(x) u (x), x ∈ [0,T], u(0) = c, u′ (T) = 0, where c,T ∈ R (c ≠ 0, T > 0) and ƒ is a nonnegative function with r (r ≥ 0) continuous bounded derivatives. We prove an upper [...]
8
80%
Opuscula Mathematica
EN The problem describing a ship motion in waves comprises the Laplace equation, boundary condition on wetted surface of the ship, condition on the free surface of the sea in the form of a differential equation, the radiation condition, and a condition at infinity. This problem can be transformed to a [...]
9
80%
Journal of Theoretical and Applied Mechanics
2005 Vol. 43 nr 4 763--775
PL W pracy zbadano wpływ modułu sprężystości Younga i liczby Poissona, a także gęstości materiału na częstość podstawową płyt o zmiennej grubości typu diafragmy i dysku. Do rozwiązania zagadnienia brzegowego zastosowano metodę funkcji wpływu Cauchy, najprostszy estimator z niedostatkiem i dwustronne es[...]
EN In the paper, the influence of Young's modulus and Poisson ratio as well as mass density of a material on the base frequency of circular plates of the diaphragm type with variable thickness is discussed. In order to solve the boundary-value problem, the Cauchy function method and double Bernstein-Ki[...]
10
80%
Technical Sciences / University of Warmia and Mazury in Olsztyn
2017 nr 20(4) 333--342
EN The Cauchy function and characteristic series were applied to solve the boundary value problem of free transverse vibrations of vertically mounted, elastically supported tapered cantilever columns. The columns can be subjected to universal axial point loads which considerate – conservative and follo[...]
11
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Demonstratio Mathematica
EN The paper is devoted to the development of a numerical algorithm for finding the time-periodic transverse oscillations of a rod under external forces. Moreover, the dynamical stablility of these oscillations is proved under damping properities of the fluid.
12
80%
Demonstratio Mathematica
EN We consider the Dirichlet boundary value problem for higher order O. D. E. with nonlinearity being the sum of a derivative of a convex and of a concave function in case when no growth condition is imposed on the concave part.
13
70%
Technical Sciences / University of Warmia and Mazury in Olsztyn
2013 nr 16(2) 131--146
EN In this paper the Bernstein-Kieropian simplest Dunkerly estimators of natural frequencies of cantilever shafts with power variable flexural rigidity and attached concentrated mass were analyzed in a theoretical approach. The approximate solution of boundary value problem of transversal vibrations by[...]
14
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Journal of Theoretical and Applied Mechanics
2001 Vol. 39 nr 1 195-212
PL Analiza drań swobodnych układu ciągło-dyskretnego z tłumieniem. W pracy przedstawiono uogólnioną ścisłą metodę rozwiązania zagadnienia drgań swobodnych belki z dołączonymi do niej, za pośrednictwem lepko-sprężystych więzi, skoncentrowanymi sztywnymi ciałami. Drgania układu ciągło-dyskretnego zostały[...]
EN In this paper a generalized exact method of solving the problem of beam free vibrations with a discrete rigid body attached to the beam by means of viscoelastic constraints was presented. The vibrations of such a discrete-continuous system were described by a set of coupled partial and ordinary diff[...]
15
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Applied Mechanics and Engineering
EN The analytical method of solving periodic tasks of elasticity theory for layered composites has been suggested in papers (Starushenko et al., 1998). The method based on introduction of special non-smooth argument transformation so-called saw-tooth transformation (t-transformation). The advantage of [...]
16
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International Journal of Applied Mechanics and Engineering
EN The solution of the periodic problem for layered composite structure on the discretely located linear-elastic bearings has been obtained in the paper (Starushenko, 2000). The general case of the problem is considered in this paper. The structure that is located on the combined continuous and discret[...]
17
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Opuscula Mathematica
2014 Vol. 34, no. 2 339--362
EN We consider the following second order differential equation with delay [formula] In this paper we find necessary and sufficient conditions of positivity of Green's functions for this impulsive equation coupled with one or two-point boundary conditions in the form of theorems about differential ineq[...]
18
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Opuscula Mathematica
EN The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of weak noncompactness.
19
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Opuscula Mathematica
EN An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of th[...]
20
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Journal of Applied Analysis
EN We suty the existence of solutions to a class of problems u" + f(t,u)=0, u(0)=u(1)=0 where f(t, .) is allowed to be singular at t=0, t=1.
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