existence of solutions
Existence of Solutions to a Viscous Thin Film Equation
... In this paper, C is denoted as a positive constant and may change from line to line. The paper is arranged as follows. The existence of solutions to the approximate problem will be proved in Section 2. In ...
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The existence of solutions to the nonhomogeneous A harmonic equation
... In this section, we introduce the main work of this paper, to prove the existence and the uniqueness of solutions to the nonhomogeneous A - harmonic equation. We can see this work for the A -harmonic ...
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Existence of Solutions for the -Laplacian Problem with Singular Term
... R˘adulescu, “On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent,” Proceedings of the American Mathematical Society , vol.[r] ...
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Existence of solutions to a regularized model of dynamic fracture
... of solutions to the time-discrete elastodynamics, proposed by Bourdin, Larsen & Richardson as a semidiscrete numerical model for dynamic fracture, converges, as the time-step approaches zero, to a solution of ...
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On the Existence of Solutions to the Muskat Problem With Surface Tension
... an integration by parts, while the remaining Υ contain remainder terms. The main difficulty is in successfully bounding the remainder terms involved, as the Lipschitz bounds necessary prove to be very technical in ...
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Existence of solutions for a family of polyharmonic and biharmonic equations
... solution if 1 < p < (n + 2)/(n − 2) and does not have any solution if (n + 2)/(n − 2) < p. The usual approaches to prove the existence or nonexistence of solutions in this case are mountain-pass ...
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Existence of solutions for a class of operator equations
... the existence of nontrivial solutions on higher order boundary value problems, see ...new existence theorems on unique, at least one nontrivial and infinitely many solutions were ...the ...
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Existence of Solutions and Algorithm for a System of Variational Inequalities
... B, then by Lemma 2.3, parametric variational inequality VIB, Gx, · has solutions. In terms of strict monotonicity of the mapping G in y and Lemma 2.4, we know that VIB, Gx, · has a unique solution. So, for all x ∈ ...
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Global existence and boundedness for quasi variational systems
... Abstract. We consider quasi-variational ordinary differential systems, which may be con- sidered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, ...
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On the existence of bounded solutions of nonlinear elliptic systems
... the existence of the solutions for a system of the ...the existence of the solutions for ...the existence of solutions to problem ...
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Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... the existence of solutions for fractional Kirchhoff equation like ...state solutions for ...the existence of ground state solutions by using the monotonicity trick and the profile ...the ...
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Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
... Fractional differential equations appear naturally in a number of fields such as physics, chemistry, electromagnetic, engineering, control, and other branches; see [–] and the references therein. Fractional differential ...
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Existence and multiplicity of periodic solutions generated by impulses
... The existence of solutions is one of the most important topics of impulsive differential ...lower solutions, have been used to study them; see [–] and references ...
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Solutions of perturbed p-Laplacian equation with critical nonlinearity and magnetic fields
... For general p ≥ , most of the works studied the existence results to equation (.) with A(x) ≡ . See, for example, [–] and the references therein. These papers are mostly devoted to the study of the ...
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Existence of extremal solutions for quadratic fuzzy equations
... In Section 2, we point out some considerations about the previous results and justify the validity of the proof of Theorem 1.3 given in [1], presenting a more general existence result. Then, in Section 3, we study ...
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Existence and nonexistence of positive solutions for quasilinear systems
... Positive Solutions of Operator Equations, Noordhoff, Groningen, ...the existence of positive solutions of semilinear elliptic equations, SIAM Review ...
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Existence and multiplicity of nontrivial solutions for a nonlocal problem
... the existence of a nontrivial non-negative solution for problem (), and the existence of a nontrivial non-positive solution for problem () can obtained ...
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Existence and nonexistence of solutions for a generalized Boussinesq equation
... The Cauchy problem for a generalized Boussinesq equation is investigated. The existence and uniqueness for the local solution and global solution of the problem are established under certain conditions. Moreover, ...
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Existence of periodic solutions of a generalized Lienard equation
... For the Lienard equation, the classical theorems on the existence of periodic orbits is well known [2]. Here we are interested in the conditions under which equation (1.1) has a periodic solution when the system ...
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Existence of periodic solutions for nonlinear Lienard systems
... To prove our results we adapt Mawhin’s continuation theorem in [2], and we give appropriate region for the system’s multiplicity by finding an a’priori bound.. To prove our assertion, we[r] ...
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