On Decay of Solutions for a System of Coupled Viscoelastic Equations
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DOI: 10.1007/s10440-019-00273-1
Abstract: In this paper, we consider a system of two viscoelastic equations with Dirichlet boundary conditions. For certain class of relaxation functions and initial data, we establish general and optimal decay results. This result extends earlier one of Liu (Nonlinear… read more here.
Keywords: system; viscoelastic equations; decay solutions; coupled viscoelastic ... See more keywords
Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations
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DOI: 10.1007/s10998-016-0179-3
Abstract: In this paper we consider the nonlinear system $$\gamma _i(x_i)=\sum _{j=1}^{m}g_{ij} (x_j)$$γi(xi)=∑j=1mgij(xj), $$ 1\le i \le m$$1≤i≤m. We give sufficient conditions which imply the existence and uniqueness of positive solutions of the system. Our theorem… read more here.
Keywords: uniqueness positive; system; existence uniqueness; positive solutions ... See more keywords
Periodic Solutions of a System of Differential Equations with Hysteresis Nonlinearity in the Presence of Eigenvalue Zero
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1566-0
Abstract: We study a system of ordinary differential equations of order n containing a nonlinearity of imperfectrelay type with hysteresis and external periodic perturbation. We consider the problem of existence of solutions with periods equal to… read more here.
Keywords: system; periodic solutions; nonlinearity; solutions system ... See more keywords
Solid Solutions in the Li–Ni–Mn–Co–O System
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DOI: 10.1134/s0020168519020080
Abstract: Abstract—Published experimental data are used to evaluate the composition extent of the LNMCO1, LNMCO2, LNMCO3, and LNMCO4 solid solutions in the Li–Ni–Mn–Co–O system, which have the rock salt (Li(Ni,Mn,Co)O), α-NaFeO2 ferrite (Li(Ni,Mn,Co)O2), manganite (Li2MnO3), and… read more here.
Keywords: solid solutions; solutions system;
Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
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DOI: 10.1155/2018/6835028
Abstract: Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling… read more here.
Keywords: fractional difference; system semipositone; semipositone fractional; positive solutions ... See more keywords
Positive solutions for a system of Riemann-Liouville fractional differential equations with multi-point fractional boundary conditions
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DOI: 10.1186/s13661-017-0833-6
Abstract: We study the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations subject to multi-point boundary conditions which contain fractional derivatives. read more here.
Keywords: liouville fractional; positive solutions; solutions system; fractional differential ... See more keywords
Existence of nonoscillatory solutions for system of higher-order neutral differential equations with distributed coefficients and delays
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DOI: 10.1186/s13662-016-1061-6
Abstract: In this paper we consider the existence of nonoscillatory solutions for a system of higher-order neutral differential equations with distributed coefficients and delays. We use the Banach$Banach$ contraction principle to obtain new sufficient conditions for… read more here.
Keywords: order neutral; existence nonoscillatory; higher order; solutions system ... See more keywords
Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions
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DOI: 10.1186/s13662-019-2459-8
Abstract: In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using the Leray–Schauder alternative, while the… read more here.
Keywords: existence; existence uniqueness; solutions system; system hilfer ... See more keywords
Positive Solutions for a System of Fractional Boundary Value Problems with r-Laplacian Operators, Uncoupled Nonlocal Conditions and Positive Parameters
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DOI: 10.3390/axioms11040164
Abstract: In this paper, we investigate the existence and nonexistence of positive solutions for a system of Riemann–Liouville fractional differential equations with r-Laplacian operators, subject to nonlocal uncoupled boundary conditions that contain Riemann–Stieltjes integrals, various fractional… read more here.
Keywords: system; positive solutions; positive parameters; laplacian operators ... See more keywords
Positive Solutions for a System of Fractional Integral Boundary Value Problems of Riemann–Liouville Type Involving Semipositone Nonlinearities
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DOI: 10.3390/math7100970
Abstract: In this work by the index of fixed point and matrix theory, we discuss the positive solutions for the system of Riemann–Liouville type fractional boundary value problems D 0 + α u ( t )… read more here.
Keywords: positive solutions; solutions system; boundary value; liouville type ... See more keywords